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Finding the Fourth Proportional to 2,761.75, 4,143.23 and 1,118.40

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Solution

The fourth proportional to 2,761.75, 4,143.23 and 1,118.40 is: 1,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.75 : 4,143.23 = 1,118.40 : x
  2. Step 2: Convert to fraction form
    2,761.75/4,143.23 = 1,118.40/x
  3. Step 3: Cross multiply
    2,761.75x = 4,143.23 × 1,118.40
  4. Step 4: Simplify right side
    2,761.75x = 4,633,788.43
  5. Step 5: Solve for x
    x = 4,633,788.43/2,761.75
  6. Step 6: Final answer
    x = 1,677.85

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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.