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Finding the Fourth Proportional to 1,947.80, 2,687.98 and 1,108.57

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Solution

The fourth proportional to 1,947.80, 2,687.98 and 1,108.57 is: 1,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.80 : 2,687.98 = 1,108.57 : x
  2. Step 2: Convert to fraction form
    1,947.80/2,687.98 = 1,108.57/x
  3. Step 3: Cross multiply
    1,947.80x = 2,687.98 × 1,108.57
  4. Step 4: Simplify right side
    1,947.80x = 2,979,805.17
  5. Step 5: Solve for x
    x = 2,979,805.17/1,947.80
  6. Step 6: Final answer
    x = 1,529.83

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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.