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Finding the Fourth Proportional to 3,104.38, 4,657.17 and 1,462.78

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Solution

The fourth proportional to 3,104.38, 4,657.17 and 1,462.78 is: 2,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.38 : 4,657.17 = 1,462.78 : x
  2. Step 2: Convert to fraction form
    3,104.38/4,657.17 = 1,462.78/x
  3. Step 3: Cross multiply
    3,104.38x = 4,657.17 × 1,462.78
  4. Step 4: Simplify right side
    3,104.38x = 6,812,415.13
  5. Step 5: Solve for x
    x = 6,812,415.13/3,104.38
  6. Step 6: Final answer
    x = 2,194.45

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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.