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Finding the Fourth Proportional to 2,494.14, 3,742.20 and 1,032.96

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Solution

The fourth proportional to 2,494.14, 3,742.20 and 1,032.96 is: 1,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.14 : 3,742.20 = 1,032.96 : x
  2. Step 2: Convert to fraction form
    2,494.14/3,742.20 = 1,032.96/x
  3. Step 3: Cross multiply
    2,494.14x = 3,742.20 × 1,032.96
  4. Step 4: Simplify right side
    2,494.14x = 3,865,542.91
  5. Step 5: Solve for x
    x = 3,865,542.91/2,494.14
  6. Step 6: Final answer
    x = 1,549.85

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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.