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Finding the Fourth Proportional to 1,947.20, 2,687.20 and 1,107.97

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Solution

The fourth proportional to 1,947.20, 2,687.20 and 1,107.97 is: 1,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.20 : 2,687.20 = 1,107.97 : x
  2. Step 2: Convert to fraction form
    1,947.20/2,687.20 = 1,107.97/x
  3. Step 3: Cross multiply
    1,947.20x = 2,687.20 × 1,107.97
  4. Step 4: Simplify right side
    1,947.20x = 2,977,327.50
  5. Step 5: Solve for x
    x = 2,977,327.50/1,947.20
  6. Step 6: Final answer
    x = 1,529.03

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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.