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Finding the Fourth Proportional to 2,757.10, 4,135.62 and 677.11

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Solution

The fourth proportional to 2,757.10, 4,135.62 and 677.11 is: 1,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.10 : 4,135.62 = 677.11 : x
  2. Step 2: Convert to fraction form
    2,757.10/4,135.62 = 677.11/x
  3. Step 3: Cross multiply
    2,757.10x = 4,135.62 × 677.11
  4. Step 4: Simplify right side
    2,757.10x = 2,800,269.66
  5. Step 5: Solve for x
    x = 2,800,269.66/2,757.10
  6. Step 6: Final answer
    x = 1,015.66

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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.