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Finding the Fourth Proportional to 2,197.52, 3,295.74 and 658.52

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Solution

The fourth proportional to 2,197.52, 3,295.74 and 658.52 is: 987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.52 : 3,295.74 = 658.52 : x
  2. Step 2: Convert to fraction form
    2,197.52/3,295.74 = 658.52/x
  3. Step 3: Cross multiply
    2,197.52x = 3,295.74 × 658.52
  4. Step 4: Simplify right side
    2,197.52x = 2,170,310.70
  5. Step 5: Solve for x
    x = 2,170,310.70/2,197.52
  6. Step 6: Final answer
    x = 987.62

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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.