Finding the Third Proportional to 1,037.81 and 1,604.81
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Solution
The third proportional to 1,037.81 and 1,604.81 is: 2,481.59
Step by Step Solution
- Step 1: Write the proportion equation
1,037.81 : 1,604.81 = 1,604.81 : x - Step 2: Convert to fraction form
1,037.81/1,604.81 = 1,604.81/x - Step 3: Cross multiply
1,037.81x = 1,604.81 × 1,604.81 - Step 4: Simplify right side
1,037.81x = 2,575,423.16 - Step 5: Solve for x
x = 2,575,423.16/1,037.81 - Step 6: Final answer
x = 2,481.59
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.