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Finding the Fourth Proportional to 3,216.70, 4,439.82 and 2,022.40

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Solution

The fourth proportional to 3,216.70, 4,439.82 and 2,022.40 is: 2,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.70 : 4,439.82 = 2,022.40 : x
  2. Step 2: Convert to fraction form
    3,216.70/4,439.82 = 2,022.40/x
  3. Step 3: Cross multiply
    3,216.70x = 4,439.82 × 2,022.40
  4. Step 4: Simplify right side
    3,216.70x = 8,979,091.97
  5. Step 5: Solve for x
    x = 8,979,091.97/3,216.70
  6. Step 6: Final answer
    x = 2,791.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.