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Finding the Fourth Proportional to 3,284.52, 4,926.77 and 1,983.24

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Solution

The fourth proportional to 3,284.52, 4,926.77 and 1,983.24 is: 2,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.52 : 4,926.77 = 1,983.24 : x
  2. Step 2: Convert to fraction form
    3,284.52/4,926.77 = 1,983.24/x
  3. Step 3: Cross multiply
    3,284.52x = 4,926.77 × 1,983.24
  4. Step 4: Simplify right side
    3,284.52x = 9,770,947.66
  5. Step 5: Solve for x
    x = 9,770,947.66/3,284.52
  6. Step 6: Final answer
    x = 2,974.85

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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.