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Finding the Fourth Proportional to 3,221.88, 4,832.82 and 1,169.88

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Solution

The fourth proportional to 3,221.88, 4,832.82 and 1,169.88 is: 1,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.88 : 4,832.82 = 1,169.88 : x
  2. Step 2: Convert to fraction form
    3,221.88/4,832.82 = 1,169.88/x
  3. Step 3: Cross multiply
    3,221.88x = 4,832.82 × 1,169.88
  4. Step 4: Simplify right side
    3,221.88x = 5,653,819.46
  5. Step 5: Solve for x
    x = 5,653,819.46/3,221.88
  6. Step 6: Final answer
    x = 1,754.82

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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.