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Finding the Fourth Proportional to 3,201.88, 4,802.49 and 861.79

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Solution

The fourth proportional to 3,201.88, 4,802.49 and 861.79 is: 1,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.88 : 4,802.49 = 861.79 : x
  2. Step 2: Convert to fraction form
    3,201.88/4,802.49 = 861.79/x
  3. Step 3: Cross multiply
    3,201.88x = 4,802.49 × 861.79
  4. Step 4: Simplify right side
    3,201.88x = 4,138,716.93
  5. Step 5: Solve for x
    x = 4,138,716.93/3,201.88
  6. Step 6: Final answer
    x = 1,292.59

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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.