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Finding the Fourth Proportional to 1,909.28, 2,862.72 and 814.40

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Solution

The fourth proportional to 1,909.28, 2,862.72 and 814.40 is: 1,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.28 : 2,862.72 = 814.40 : x
  2. Step 2: Convert to fraction form
    1,909.28/2,862.72 = 814.40/x
  3. Step 3: Cross multiply
    1,909.28x = 2,862.72 × 814.40
  4. Step 4: Simplify right side
    1,909.28x = 2,331,399.17
  5. Step 5: Solve for x
    x = 2,331,399.17/1,909.28
  6. Step 6: Final answer
    x = 1,221.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.