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Finding the Fourth Proportional to 2,726, 3,737.31 and 2,676.80

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Solution

The fourth proportional to 2,726, 3,737.31 and 2,676.80 is: 3,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726 : 3,737.31 = 2,676.80 : x
  2. Step 2: Convert to fraction form
    2,726/3,737.31 = 2,676.80/x
  3. Step 3: Cross multiply
    2,726x = 3,737.31 × 2,676.80
  4. Step 4: Simplify right side
    2,726x = 10,004,018.02
  5. Step 5: Solve for x
    x = 10,004,018.02/2,726
  6. Step 6: Final answer
    x = 3,669.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.