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Finding the Fourth Proportional to 2,489.40, 3,729.42 and 2,081.16

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Solution

The fourth proportional to 2,489.40, 3,729.42 and 2,081.16 is: 3,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.40 : 3,729.42 = 2,081.16 : x
  2. Step 2: Convert to fraction form
    2,489.40/3,729.42 = 2,081.16/x
  3. Step 3: Cross multiply
    2,489.40x = 3,729.42 × 2,081.16
  4. Step 4: Simplify right side
    2,489.40x = 7,761,519.73
  5. Step 5: Solve for x
    x = 7,761,519.73/2,489.40
  6. Step 6: Final answer
    x = 3,117.83

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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.