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Finding the Fourth Proportional to 2,489.90, 3,729.89 and 2,285.78

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Solution

The fourth proportional to 2,489.90, 3,729.89 and 2,285.78 is: 3,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.90 : 3,729.89 = 2,285.78 : x
  2. Step 2: Convert to fraction form
    2,489.90/3,729.89 = 2,285.78/x
  3. Step 3: Cross multiply
    2,489.90x = 3,729.89 × 2,285.78
  4. Step 4: Simplify right side
    2,489.90x = 8,525,695.03
  5. Step 5: Solve for x
    x = 8,525,695.03/2,489.90
  6. Step 6: Final answer
    x = 3,424.12

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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.