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Finding the Fourth Proportional to 2,572.88, 3,859.16 and 817.85

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Solution

The fourth proportional to 2,572.88, 3,859.16 and 817.85 is: 1,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.88 : 3,859.16 = 817.85 : x
  2. Step 2: Convert to fraction form
    2,572.88/3,859.16 = 817.85/x
  3. Step 3: Cross multiply
    2,572.88x = 3,859.16 × 817.85
  4. Step 4: Simplify right side
    2,572.88x = 3,156,209.92
  5. Step 5: Solve for x
    x = 3,156,209.92/2,572.88
  6. Step 6: Final answer
    x = 1,226.72

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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.