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Finding the Fourth Proportional to 3,197.32, 4,796.42 and 1,553.65

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Solution

The fourth proportional to 3,197.32, 4,796.42 and 1,553.65 is: 2,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.32 : 4,796.42 = 1,553.65 : x
  2. Step 2: Convert to fraction form
    3,197.32/4,796.42 = 1,553.65/x
  3. Step 3: Cross multiply
    3,197.32x = 4,796.42 × 1,553.65
  4. Step 4: Simplify right side
    3,197.32x = 7,451,938.17
  5. Step 5: Solve for x
    x = 7,451,938.17/3,197.32
  6. Step 6: Final answer
    x = 2,330.68

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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.