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Finding the Fourth Proportional to 2,197.64, 3,296.40 and 658.64

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Solution

The fourth proportional to 2,197.64, 3,296.40 and 658.64 is: 987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.64 : 3,296.40 = 658.64 : x
  2. Step 2: Convert to fraction form
    2,197.64/3,296.40 = 658.64/x
  3. Step 3: Cross multiply
    2,197.64x = 3,296.40 × 658.64
  4. Step 4: Simplify right side
    2,197.64x = 2,171,140.90
  5. Step 5: Solve for x
    x = 2,171,140.90/2,197.64
  6. Step 6: Final answer
    x = 987.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.