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Finding the Fourth Proportional to 1,494.52, 2,238.29 and 1,442.61

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Solution

The fourth proportional to 1,494.52, 2,238.29 and 1,442.61 is: 2,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.52 : 2,238.29 = 1,442.61 : x
  2. Step 2: Convert to fraction form
    1,494.52/2,238.29 = 1,442.61/x
  3. Step 3: Cross multiply
    1,494.52x = 2,238.29 × 1,442.61
  4. Step 4: Simplify right side
    1,494.52x = 3,228,983.14
  5. Step 5: Solve for x
    x = 3,228,983.14/1,494.52
  6. Step 6: Final answer
    x = 2,160.55

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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.