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Finding the Fourth Proportional to 2,723.68, 3,760.49 and 2,428.44

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Solution

The fourth proportional to 2,723.68, 3,760.49 and 2,428.44 is: 3,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.68 : 3,760.49 = 2,428.44 : x
  2. Step 2: Convert to fraction form
    2,723.68/3,760.49 = 2,428.44/x
  3. Step 3: Cross multiply
    2,723.68x = 3,760.49 × 2,428.44
  4. Step 4: Simplify right side
    2,723.68x = 9,132,124.34
  5. Step 5: Solve for x
    x = 9,132,124.34/2,723.68
  6. Step 6: Final answer
    x = 3,352.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.