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Finding the Fourth Proportional to 3,103.53, 4,657.13 and 1,229.61

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Solution

The fourth proportional to 3,103.53, 4,657.13 and 1,229.61 is: 1,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.53 : 4,657.13 = 1,229.61 : x
  2. Step 2: Convert to fraction form
    3,103.53/4,657.13 = 1,229.61/x
  3. Step 3: Cross multiply
    3,103.53x = 4,657.13 × 1,229.61
  4. Step 4: Simplify right side
    3,103.53x = 5,726,447.47
  5. Step 5: Solve for x
    x = 5,726,447.47/3,103.53
  6. Step 6: Final answer
    x = 1,845.14

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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.