Home / 1,472.24-2,031.69-809.13

Finding the Fourth Proportional to 1,472.24, 2,031.69 and 809.13

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Solution

The fourth proportional to 1,472.24, 2,031.69 and 809.13 is: 1,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.24 : 2,031.69 = 809.13 : x
  2. Step 2: Convert to fraction form
    1,472.24/2,031.69 = 809.13/x
  3. Step 3: Cross multiply
    1,472.24x = 2,031.69 × 809.13
  4. Step 4: Simplify right side
    1,472.24x = 1,643,906.57
  5. Step 5: Solve for x
    x = 1,643,906.57/1,472.24
  6. Step 6: Final answer
    x = 1,116.60

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Why These Related Problems?

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