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Finding the Fourth Proportional to 2,302.40, 3,452.54 and 658.56

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Solution

The fourth proportional to 2,302.40, 3,452.54 and 658.56 is: 987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.40 : 3,452.54 = 658.56 : x
  2. Step 2: Convert to fraction form
    2,302.40/3,452.54 = 658.56/x
  3. Step 3: Cross multiply
    2,302.40x = 3,452.54 × 658.56
  4. Step 4: Simplify right side
    2,302.40x = 2,273,704.74
  5. Step 5: Solve for x
    x = 2,273,704.74/2,302.40
  6. Step 6: Final answer
    x = 987.54

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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.