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Finding the Fourth Proportional to 2,834.38, 4,252.14 and 1,372.72

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Solution

The fourth proportional to 2,834.38, 4,252.14 and 1,372.72 is: 2,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.38 : 4,252.14 = 1,372.72 : x
  2. Step 2: Convert to fraction form
    2,834.38/4,252.14 = 1,372.72/x
  3. Step 3: Cross multiply
    2,834.38x = 4,252.14 × 1,372.72
  4. Step 4: Simplify right side
    2,834.38x = 5,836,997.62
  5. Step 5: Solve for x
    x = 5,836,997.62/2,834.38
  6. Step 6: Final answer
    x = 2,059.36

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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.