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Finding the Fourth Proportional to 2,543.52, 3,815.69 and 1,082.69

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Solution

The fourth proportional to 2,543.52, 3,815.69 and 1,082.69 is: 1,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.52 : 3,815.69 = 1,082.69 : x
  2. Step 2: Convert to fraction form
    2,543.52/3,815.69 = 1,082.69/x
  3. Step 3: Cross multiply
    2,543.52x = 3,815.69 × 1,082.69
  4. Step 4: Simplify right side
    2,543.52x = 4,131,209.41
  5. Step 5: Solve for x
    x = 4,131,209.41/2,543.52
  6. Step 6: Final answer
    x = 1,624.21

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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.