To find the selling price of the car based on Noa's commission of $1,631.24, you can use the formula:
\[ \text{Commission} = \text{Selling Price} \times \text{Commission Rate} \]
Given that the commission rate is 25%, or 0.25 in decimal form, we can rearrange the formula to solve for the selling price:
\[ \text{Selling Price} = \frac{\text{Commission}}{\text{Commission Rate}} \]
Substituting in the values:
\[ \text{Selling Price} = \frac{1,631.24}{0.25} \]
Calculating this gives:
\[ \text{Selling Price} = 6,524.96 \]
Thus, the selling price of the car was $6,524.96.