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Finding the Fourth Proportional to 2,731.68, 4,097.76 and 2,266.56

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Solution

The fourth proportional to 2,731.68, 4,097.76 and 2,266.56 is: 3,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.68 : 4,097.76 = 2,266.56 : x
  2. Step 2: Convert to fraction form
    2,731.68/4,097.76 = 2,266.56/x
  3. Step 3: Cross multiply
    2,731.68x = 4,097.76 × 2,266.56
  4. Step 4: Simplify right side
    2,731.68x = 9,287,818.91
  5. Step 5: Solve for x
    x = 9,287,818.91/2,731.68
  6. Step 6: Final answer
    x = 3,400.04

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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.