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Finding the Fourth Proportional to 3,279.97, 4,922.47 and 1,201.95

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Solution

The fourth proportional to 3,279.97, 4,922.47 and 1,201.95 is: 1,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.97 : 4,922.47 = 1,201.95 : x
  2. Step 2: Convert to fraction form
    3,279.97/4,922.47 = 1,201.95/x
  3. Step 3: Cross multiply
    3,279.97x = 4,922.47 × 1,201.95
  4. Step 4: Simplify right side
    3,279.97x = 5,916,562.82
  5. Step 5: Solve for x
    x = 5,916,562.82/3,279.97
  6. Step 6: Final answer
    x = 1,803.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.