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Finding the Fourth Proportional to 2,301.38, 3,451.45 and 658.02

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Solution

The fourth proportional to 2,301.38, 3,451.45 and 658.02 is: 986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.38 : 3,451.45 = 658.02 : x
  2. Step 2: Convert to fraction form
    2,301.38/3,451.45 = 658.02/x
  3. Step 3: Cross multiply
    2,301.38x = 3,451.45 × 658.02
  4. Step 4: Simplify right side
    2,301.38x = 2,271,123.13
  5. Step 5: Solve for x
    x = 2,271,123.13/2,301.38
  6. Step 6: Final answer
    x = 986.85

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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.