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Finding the Fourth Proportional to 2,301.97, 3,452.38 and 658.53

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Solution

The fourth proportional to 2,301.97, 3,452.38 and 658.53 is: 987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.97 : 3,452.38 = 658.53 : x
  2. Step 2: Convert to fraction form
    2,301.97/3,452.38 = 658.53/x
  3. Step 3: Cross multiply
    2,301.97x = 3,452.38 × 658.53
  4. Step 4: Simplify right side
    2,301.97x = 2,273,495.80
  5. Step 5: Solve for x
    x = 2,273,495.80/2,301.97
  6. Step 6: Final answer
    x = 987.63

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