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Finding the Fourth Proportional to 1,614.57, 2,228.46 and 1,024.99

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Solution

The fourth proportional to 1,614.57, 2,228.46 and 1,024.99 is: 1,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.57 : 2,228.46 = 1,024.99 : x
  2. Step 2: Convert to fraction form
    1,614.57/2,228.46 = 1,024.99/x
  3. Step 3: Cross multiply
    1,614.57x = 2,228.46 × 1,024.99
  4. Step 4: Simplify right side
    1,614.57x = 2,284,149.22
  5. Step 5: Solve for x
    x = 2,284,149.22/1,614.57
  6. Step 6: Final answer
    x = 1,414.71

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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.