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Finding the Fourth Proportional to 2,766.10, 4,149.11 and 686.11

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Solution

The fourth proportional to 2,766.10, 4,149.11 and 686.11 is: 1,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.10 : 4,149.11 = 686.11 : x
  2. Step 2: Convert to fraction form
    2,766.10/4,149.11 = 686.11/x
  3. Step 3: Cross multiply
    2,766.10x = 4,149.11 × 686.11
  4. Step 4: Simplify right side
    2,766.10x = 2,846,745.86
  5. Step 5: Solve for x
    x = 2,846,745.86/2,766.10
  6. Step 6: Final answer
    x = 1,029.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.