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Finding the Fourth Proportional to 2,192.12, 3,288.34 and 731.27

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Solution

The fourth proportional to 2,192.12, 3,288.34 and 731.27 is: 1,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.12 : 3,288.34 = 731.27 : x
  2. Step 2: Convert to fraction form
    2,192.12/3,288.34 = 731.27/x
  3. Step 3: Cross multiply
    2,192.12x = 3,288.34 × 731.27
  4. Step 4: Simplify right side
    2,192.12x = 2,404,665.31
  5. Step 5: Solve for x
    x = 2,404,665.31/2,192.12
  6. Step 6: Final answer
    x = 1,096.96

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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.