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Finding the Fourth Proportional to 2,452.97, 3,679.14 and 1,452.91

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Solution

The fourth proportional to 2,452.97, 3,679.14 and 1,452.91 is: 2,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.97 : 3,679.14 = 1,452.91 : x
  2. Step 2: Convert to fraction form
    2,452.97/3,679.14 = 1,452.91/x
  3. Step 3: Cross multiply
    2,452.97x = 3,679.14 × 1,452.91
  4. Step 4: Simplify right side
    2,452.97x = 5,345,459.30
  5. Step 5: Solve for x
    x = 5,345,459.30/2,452.97
  6. Step 6: Final answer
    x = 2,179.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.