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Finding the Fourth Proportional to 2,422.75, 3,634.17 and 691.42

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Solution

The fourth proportional to 2,422.75, 3,634.17 and 691.42 is: 1,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.75 : 3,634.17 = 691.42 : x
  2. Step 2: Convert to fraction form
    2,422.75/3,634.17 = 691.42/x
  3. Step 3: Cross multiply
    2,422.75x = 3,634.17 × 691.42
  4. Step 4: Simplify right side
    2,422.75x = 2,512,737.82
  5. Step 5: Solve for x
    x = 2,512,737.82/2,422.75
  6. Step 6: Final answer
    x = 1,037.14

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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.