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Finding the Fourth Proportional to 2,542.12, 3,813.18 and 1,080.25

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Solution

The fourth proportional to 2,542.12, 3,813.18 and 1,080.25 is: 1,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.12 : 3,813.18 = 1,080.25 : x
  2. Step 2: Convert to fraction form
    2,542.12/3,813.18 = 1,080.25/x
  3. Step 3: Cross multiply
    2,542.12x = 3,813.18 × 1,080.25
  4. Step 4: Simplify right side
    2,542.12x = 4,119,187.70
  5. Step 5: Solve for x
    x = 4,119,187.70/2,542.12
  6. Step 6: Final answer
    x = 1,620.38

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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.