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Finding the Fourth Proportional to 2,301.75, 3,452.30 and 658.43

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Solution

The fourth proportional to 2,301.75, 3,452.30 and 658.43 is: 987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.75 : 3,452.30 = 658.43 : x
  2. Step 2: Convert to fraction form
    2,301.75/3,452.30 = 658.43/x
  3. Step 3: Cross multiply
    2,301.75x = 3,452.30 × 658.43
  4. Step 4: Simplify right side
    2,301.75x = 2,273,097.89
  5. Step 5: Solve for x
    x = 2,273,097.89/2,301.75
  6. Step 6: Final answer
    x = 987.55

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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.