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Finding the Fourth Proportional to 3,454.80, 5,182.17 and 2,068.53

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Solution

The fourth proportional to 3,454.80, 5,182.17 and 2,068.53 is: 3,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.80 : 5,182.17 = 2,068.53 : x
  2. Step 2: Convert to fraction form
    3,454.80/5,182.17 = 2,068.53/x
  3. Step 3: Cross multiply
    3,454.80x = 5,182.17 × 2,068.53
  4. Step 4: Simplify right side
    3,454.80x = 10,719,474.11
  5. Step 5: Solve for x
    x = 10,719,474.11/3,454.80
  6. Step 6: Final answer
    x = 3,102.78

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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.