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Finding the Fourth Proportional to 2,676.87, 3,694.03 and 1,557.86

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Solution

The fourth proportional to 2,676.87, 3,694.03 and 1,557.86 is: 2,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.87 : 3,694.03 = 1,557.86 : x
  2. Step 2: Convert to fraction form
    2,676.87/3,694.03 = 1,557.86/x
  3. Step 3: Cross multiply
    2,676.87x = 3,694.03 × 1,557.86
  4. Step 4: Simplify right side
    2,676.87x = 5,754,759.21
  5. Step 5: Solve for x
    x = 5,754,759.21/2,676.87
  6. Step 6: Final answer
    x = 2,149.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.