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Finding the Fourth Proportional to 2,877.40, 4,318.62 and 1,147.24

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Solution

The fourth proportional to 2,877.40, 4,318.62 and 1,147.24 is: 1,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.40 : 4,318.62 = 1,147.24 : x
  2. Step 2: Convert to fraction form
    2,877.40/4,318.62 = 1,147.24/x
  3. Step 3: Cross multiply
    2,877.40x = 4,318.62 × 1,147.24
  4. Step 4: Simplify right side
    2,877.40x = 4,954,493.61
  5. Step 5: Solve for x
    x = 4,954,493.61/2,877.40
  6. Step 6: Final answer
    x = 1,721.86

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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.