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Finding the Fourth Proportional to 2,114.62, 2,915.94 and 1,452.44

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Solution

The fourth proportional to 2,114.62, 2,915.94 and 1,452.44 is: 2,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.62 : 2,915.94 = 1,452.44 : x
  2. Step 2: Convert to fraction form
    2,114.62/2,915.94 = 1,452.44/x
  3. Step 3: Cross multiply
    2,114.62x = 2,915.94 × 1,452.44
  4. Step 4: Simplify right side
    2,114.62x = 4,235,227.89
  5. Step 5: Solve for x
    x = 4,235,227.89/2,114.62
  6. Step 6: Final answer
    x = 2,002.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.