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Finding the Fourth Proportional to 2,301.86, 3,452.76 and 658.40

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Solution

The fourth proportional to 2,301.86, 3,452.76 and 658.40 is: 987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.86 : 3,452.76 = 658.40 : x
  2. Step 2: Convert to fraction form
    2,301.86/3,452.76 = 658.40/x
  3. Step 3: Cross multiply
    2,301.86x = 3,452.76 × 658.40
  4. Step 4: Simplify right side
    2,301.86x = 2,273,297.18
  5. Step 5: Solve for x
    x = 2,273,297.18/2,301.86
  6. Step 6: Final answer
    x = 987.59

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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.