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Finding the Fourth Proportional to 1,472.43, 2,031.83 and 809.24

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Solution

The fourth proportional to 1,472.43, 2,031.83 and 809.24 is: 1,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.43 : 2,031.83 = 809.24 : x
  2. Step 2: Convert to fraction form
    1,472.43/2,031.83 = 809.24/x
  3. Step 3: Cross multiply
    1,472.43x = 2,031.83 × 809.24
  4. Step 4: Simplify right side
    1,472.43x = 1,644,242.92
  5. Step 5: Solve for x
    x = 1,644,242.92/1,472.43
  6. Step 6: Final answer
    x = 1,116.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.