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Finding the Fourth Proportional to 2,042.56, 3,062.42 and 1,118.55

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Solution

The fourth proportional to 2,042.56, 3,062.42 and 1,118.55 is: 1,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.56 : 3,062.42 = 1,118.55 : x
  2. Step 2: Convert to fraction form
    2,042.56/3,062.42 = 1,118.55/x
  3. Step 3: Cross multiply
    2,042.56x = 3,062.42 × 1,118.55
  4. Step 4: Simplify right side
    2,042.56x = 3,425,469.89
  5. Step 5: Solve for x
    x = 3,425,469.89/2,042.56
  6. Step 6: Final answer
    x = 1,677.05

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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.