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Finding the Fourth Proportional to 2,191.88, 3,288.17 and 731.37

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Solution

The fourth proportional to 2,191.88, 3,288.17 and 731.37 is: 1,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.88 : 3,288.17 = 731.37 : x
  2. Step 2: Convert to fraction form
    2,191.88/3,288.17 = 731.37/x
  3. Step 3: Cross multiply
    2,191.88x = 3,288.17 × 731.37
  4. Step 4: Simplify right side
    2,191.88x = 2,404,865.24
  5. Step 5: Solve for x
    x = 2,404,865.24/2,191.88
  6. Step 6: Final answer
    x = 1,097.17

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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.