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Finding the Fourth Proportional to 1,614.19, 2,227.95 and 1,024.62

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Solution

The fourth proportional to 1,614.19, 2,227.95 and 1,024.62 is: 1,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.19 : 2,227.95 = 1,024.62 : x
  2. Step 2: Convert to fraction form
    1,614.19/2,227.95 = 1,024.62/x
  3. Step 3: Cross multiply
    1,614.19x = 2,227.95 × 1,024.62
  4. Step 4: Simplify right side
    1,614.19x = 2,282,785.87
  5. Step 5: Solve for x
    x = 2,282,785.87/1,614.19
  6. Step 6: Final answer
    x = 1,414.20

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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.