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Finding the Fourth Proportional to 2,191.98, 3,288.51 and 731.13

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Solution

The fourth proportional to 2,191.98, 3,288.51 and 731.13 is: 1,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.98 : 3,288.51 = 731.13 : x
  2. Step 2: Convert to fraction form
    2,191.98/3,288.51 = 731.13/x
  3. Step 3: Cross multiply
    2,191.98x = 3,288.51 × 731.13
  4. Step 4: Simplify right side
    2,191.98x = 2,404,328.32
  5. Step 5: Solve for x
    x = 2,404,328.32/2,191.98
  6. Step 6: Final answer
    x = 1,096.88

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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.