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Finding the Fourth Proportional to 2,542.44, 3,813.66 and 1,568.88

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Solution

The fourth proportional to 2,542.44, 3,813.66 and 1,568.88 is: 2,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.44 : 3,813.66 = 1,568.88 : x
  2. Step 2: Convert to fraction form
    2,542.44/3,813.66 = 1,568.88/x
  3. Step 3: Cross multiply
    2,542.44x = 3,813.66 × 1,568.88
  4. Step 4: Simplify right side
    2,542.44x = 5,983,174.90
  5. Step 5: Solve for x
    x = 5,983,174.90/2,542.44
  6. Step 6: Final answer
    x = 2,353.32

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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.