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Finding the Fourth Proportional to 2,301.74, 3,452.54 and 658.27

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Solution

The fourth proportional to 2,301.74, 3,452.54 and 658.27 is: 987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.74 : 3,452.54 = 658.27 : x
  2. Step 2: Convert to fraction form
    2,301.74/3,452.54 = 658.27/x
  3. Step 3: Cross multiply
    2,301.74x = 3,452.54 × 658.27
  4. Step 4: Simplify right side
    2,301.74x = 2,272,691.58
  5. Step 5: Solve for x
    x = 2,272,691.58/2,301.74
  6. Step 6: Final answer
    x = 987.38

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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.