It looks like you’re presenting a proportion equation:
\[ \frac{3}{1.2} : \frac{2}{1.7} = \frac{2}{1.3} : t \]
To solve for \( t \), we can set up the equation based on the property of proportions:
\[ \frac{3}{1.2} \cdot t = \frac{2}{1.7} \cdot \frac{2}{1.3} \]
Now let's calculate:
Calculate \( \frac{2}{1.7} \cdot \frac{2}{1.3} \). \[ \frac{2}{1.7} \cdot \frac{2}{1.3} = \frac{4}{1.7 \cdot 1.3} \]
Calculating \( 1.7 \cdot 1.3 \): \[ 1.7 \cdot 1.3 = 2.21 \] So, \[ \frac{2}{1.7} \cdot \frac{2}{1.3} = \frac{4}{2.21} \]
Now we need to calculate \( \frac{3}{1.2} \cdot t \): \[ \frac{3}{1.2} = 2.5 \] So we have: \[ 2.5t = \frac{4}{2.21} \]
To find \( t \), divide both sides by \( 2.5 \): \[ t = \frac{4}{2.21 \cdot 2.5} = \frac{4}{5.525} \] Now calculate: \[ t \approx 0.723 \]
Thus, the value of \( t \) is approximately \( 0.723 \).