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Finding the Fourth Proportional to 1,614.78, 2,417.85 and 1,367.10

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Solution

The fourth proportional to 1,614.78, 2,417.85 and 1,367.10 is: 2,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.78 : 2,417.85 = 1,367.10 : x
  2. Step 2: Convert to fraction form
    1,614.78/2,417.85 = 1,367.10/x
  3. Step 3: Cross multiply
    1,614.78x = 2,417.85 × 1,367.10
  4. Step 4: Simplify right side
    1,614.78x = 3,305,442.74
  5. Step 5: Solve for x
    x = 3,305,442.74/1,614.78
  6. Step 6: Final answer
    x = 2,046.99

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