If the nominal exchange rate is 1.730 Swiss francs per US dollar, and 1.053 Brazilian reals per Swiss franc, then there are ____ Brazilian reals per US dollar.

1. Break Down the Problem

We need to find the number of Brazilian reals per US dollar based on the given exchange rates:

• Nominal exchange rate: 1.730 Swiss francs per US dollar (CHF/USD)
• Exchange rate: 1.053 Brazilian reals per Swiss franc (BRL/CHF)

To find the exchange rate in Brazilian reals per US dollar (BRL/USD), we can use the formula: $\text{BRL/USD} = \text{BRL/CHF} \times \text{CHF/USD}$

2. Relevant Concepts

• Exchange rates give the value of one currency in terms of another.
• To convert currencies, we can multiply the two exchange rates together.

3. Analysis and Detail

Now substituting in the values we have:

• CHF/USD = 1.730
• BRL/CHF = 1.053

Calculating the BRL per USD: $\text{BRL/USD} = 1.053 \, \text{(BRL/CHF)} \times 1.730 \, \text{(CHF/USD)}$

4. Verify and Summarize

Now, perform the multiplication: $\text{BRL/USD} = 1.053 \times 1.730 = 1.82269$ Rounding to two decimal places gives us approximately 1.82 Brazilian reals per US dollar.

Final Answer

There are approximately 1.82 Brazilian reals per US dollar.