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Finding the Fourth Proportional to 2,797.73, 4,188.49 and 2,107.31

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Solution

The fourth proportional to 2,797.73, 4,188.49 and 2,107.31 is: 3,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.73 : 4,188.49 = 2,107.31 : x
  2. Step 2: Convert to fraction form
    2,797.73/4,188.49 = 2,107.31/x
  3. Step 3: Cross multiply
    2,797.73x = 4,188.49 × 2,107.31
  4. Step 4: Simplify right side
    2,797.73x = 8,826,420.65
  5. Step 5: Solve for x
    x = 8,826,420.65/2,797.73
  6. Step 6: Final answer
    x = 3,154.85

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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.