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Finding the Fourth Proportional to 2,579.83, 3,871.28 and 1,593.97

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Solution

The fourth proportional to 2,579.83, 3,871.28 and 1,593.97 is: 2,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.83 : 3,871.28 = 1,593.97 : x
  2. Step 2: Convert to fraction form
    2,579.83/3,871.28 = 1,593.97/x
  3. Step 3: Cross multiply
    2,579.83x = 3,871.28 × 1,593.97
  4. Step 4: Simplify right side
    2,579.83x = 6,170,698.49
  5. Step 5: Solve for x
    x = 6,170,698.49/2,579.83
  6. Step 6: Final answer
    x = 2,391.90

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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.