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Finding the Fourth Proportional to 2,449.53, 3,380.66 and 1,387.49

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Solution

The fourth proportional to 2,449.53, 3,380.66 and 1,387.49 is: 1,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.53 : 3,380.66 = 1,387.49 : x
  2. Step 2: Convert to fraction form
    2,449.53/3,380.66 = 1,387.49/x
  3. Step 3: Cross multiply
    2,449.53x = 3,380.66 × 1,387.49
  4. Step 4: Simplify right side
    2,449.53x = 4,690,608.10
  5. Step 5: Solve for x
    x = 4,690,608.10/2,449.53
  6. Step 6: Final answer
    x = 1,914.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.