If the total mileage of theAppalachian Trail is 2174, usethe circle graph to determinethe number of miles in the stateof Virginia.

To answer this question we need to find the 25% of 2174 miles.
2174 miles represent 100%. To find how many miles represent 25%, we can use the next proportion:
[tex]\frac{2174\text{ miles}}{x\text{ miles}}=\frac{100\text{ \%}}{25\text{ \%}}[/tex]Solving for x:
[tex]\begin{gathered} 2174\cdot25=100\cdot x \\ \frac{54350}{100}=x \\ 543.5=x \end{gathered}[/tex]The number of miles in the state of Virginia is 543.5