ANSWER:
[tex]\begin{equation*} 8\frac{1}{4}\text{ in} \end{equation*}[/tex]
EXPLANATION:
Given:
Recall that if two figures are similar, then their corresponding sides are in equal proportion.
So we can go ahead and solve for x as seen below;
[tex]\begin{gathered} \frac{3}{x}=\frac{1}{2\frac{3}{4}} \\ \\ \frac{3}{x}=\frac{1}{\frac{11}{4}} \\ \\ \frac{3}{x}=\frac{4}{11} \\ \\ 4x=3*11 \\ \\ x=\frac{33}{4} \\ \\ x=8\frac{1}{4}\text{ in} \end{gathered}[/tex]
