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Finding the Fourth Proportional to 2,302.16, 3,453.82 and 658.85

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Solution

The fourth proportional to 2,302.16, 3,453.82 and 658.85 is: 988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.16 : 3,453.82 = 658.85 : x
  2. Step 2: Convert to fraction form
    2,302.16/3,453.82 = 658.85/x
  3. Step 3: Cross multiply
    2,302.16x = 3,453.82 × 658.85
  4. Step 4: Simplify right side
    2,302.16x = 2,275,549.31
  5. Step 5: Solve for x
    x = 2,275,549.31/2,302.16
  6. Step 6: Final answer
    x = 988.44

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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.