To solve the equation \(\frac{x + 2}{2.4} = \frac{8.5}{6.2}\), we can first cross-multiply:
\[ (x + 2) \cdot 6.2 = 8.5 \cdot 2.4 \]
Now, calculate \(8.5 \cdot 2.4\):
\[ 8.5 \cdot 2.4 = 20.4 \]
Now, we have:
\[ (x + 2) \cdot 6.2 = 20.4 \]
Next, divide both sides by \(6.2\):
\[ x + 2 = \frac{20.4}{6.2} \]
Now calculate \(\frac{20.4}{6.2}\):
\[ \frac{20.4}{6.2} = 3.29032258064516 \approx 3.29 \]
So:
\[ x + 2 \approx 3.29 \]
To isolate \(x\), subtract 2 from both sides:
\[ x \approx 3.29 - 2 = 1.29 \]
Thus, the solution is:
\[ x \approx 1.29 \]