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Finding the Fourth Proportional to 2,302.16, 3,453.28 and 658.73

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Solution

The fourth proportional to 2,302.16, 3,453.28 and 658.73 is: 988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.16 : 3,453.28 = 658.73 : x
  2. Step 2: Convert to fraction form
    2,302.16/3,453.28 = 658.73/x
  3. Step 3: Cross multiply
    2,302.16x = 3,453.28 × 658.73
  4. Step 4: Simplify right side
    2,302.16x = 2,274,786.12
  5. Step 5: Solve for x
    x = 2,274,786.12/2,302.16
  6. Step 6: Final answer
    x = 988.11

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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.