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Finding the Fourth Proportional to 2,930.97, 4,399.49 and 1,963.83

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Solution

The fourth proportional to 2,930.97, 4,399.49 and 1,963.83 is: 2,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.97 : 4,399.49 = 1,963.83 : x
  2. Step 2: Convert to fraction form
    2,930.97/4,399.49 = 1,963.83/x
  3. Step 3: Cross multiply
    2,930.97x = 4,399.49 × 1,963.83
  4. Step 4: Simplify right side
    2,930.97x = 8,639,818.63
  5. Step 5: Solve for x
    x = 8,639,818.63/2,930.97
  6. Step 6: Final answer
    x = 2,947.77

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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.