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Finding the Fourth Proportional to 1,747.62, 2,620.17 and 822.74

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Solution

The fourth proportional to 1,747.62, 2,620.17 and 822.74 is: 1,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.62 : 2,620.17 = 822.74 : x
  2. Step 2: Convert to fraction form
    1,747.62/2,620.17 = 822.74/x
  3. Step 3: Cross multiply
    1,747.62x = 2,620.17 × 822.74
  4. Step 4: Simplify right side
    1,747.62x = 2,155,705.56
  5. Step 5: Solve for x
    x = 2,155,705.56/1,747.62
  6. Step 6: Final answer
    x = 1,233.51

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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.