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Finding the Fourth Proportional to 2,302.16, 3,452.66 and 658.71

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Solution

The fourth proportional to 2,302.16, 3,452.66 and 658.71 is: 987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.16 : 3,452.66 = 658.71 : x
  2. Step 2: Convert to fraction form
    2,302.16/3,452.66 = 658.71/x
  3. Step 3: Cross multiply
    2,302.16x = 3,452.66 × 658.71
  4. Step 4: Simplify right side
    2,302.16x = 2,274,298.38
  5. Step 5: Solve for x
    x = 2,274,298.38/2,302.16
  6. Step 6: Final answer
    x = 987.90

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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.