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Finding the Fourth Proportional to 2,452.17, 3,680.97 and 992.34

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Solution

The fourth proportional to 2,452.17, 3,680.97 and 992.34 is: 1,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.17 : 3,680.97 = 992.34 : x
  2. Step 2: Convert to fraction form
    2,452.17/3,680.97 = 992.34/x
  3. Step 3: Cross multiply
    2,452.17x = 3,680.97 × 992.34
  4. Step 4: Simplify right side
    2,452.17x = 3,652,773.77
  5. Step 5: Solve for x
    x = 3,652,773.77/2,452.17
  6. Step 6: Final answer
    x = 1,489.61

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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.