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Finding the Fourth Proportional to 2,302.72, 3,453.57 and 658.82

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Solution

The fourth proportional to 2,302.72, 3,453.57 and 658.82 is: 988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.72 : 3,453.57 = 658.82 : x
  2. Step 2: Convert to fraction form
    2,302.72/3,453.57 = 658.82/x
  3. Step 3: Cross multiply
    2,302.72x = 3,453.57 × 658.82
  4. Step 4: Simplify right side
    2,302.72x = 2,275,280.99
  5. Step 5: Solve for x
    x = 2,275,280.99/2,302.72
  6. Step 6: Final answer
    x = 988.09

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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.