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Finding the Fourth Proportional to 2,772.58, 3,826.12 and 1,593.90

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Solution

The fourth proportional to 2,772.58, 3,826.12 and 1,593.90 is: 2,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.58 : 3,826.12 = 1,593.90 : x
  2. Step 2: Convert to fraction form
    2,772.58/3,826.12 = 1,593.90/x
  3. Step 3: Cross multiply
    2,772.58x = 3,826.12 × 1,593.90
  4. Step 4: Simplify right side
    2,772.58x = 6,098,452.67
  5. Step 5: Solve for x
    x = 6,098,452.67/2,772.58
  6. Step 6: Final answer
    x = 2,199.56

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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.