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Finding the Fourth Proportional to 2,761.75, 4,142.60 and 1,118.27

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Solution

The fourth proportional to 2,761.75, 4,142.60 and 1,118.27 is: 1,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.75 : 4,142.60 = 1,118.27 : x
  2. Step 2: Convert to fraction form
    2,761.75/4,142.60 = 1,118.27/x
  3. Step 3: Cross multiply
    2,761.75x = 4,142.60 × 1,118.27
  4. Step 4: Simplify right side
    2,761.75x = 4,632,530.96
  5. Step 5: Solve for x
    x = 4,632,530.96/2,761.75
  6. Step 6: Final answer
    x = 1,677.39

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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.