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Finding the Fourth Proportional to 1,947.89, 2,687.99 and 1,201.92

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Solution

The fourth proportional to 1,947.89, 2,687.99 and 1,201.92 is: 1,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.89 : 2,687.99 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    1,947.89/2,687.99 = 1,201.92/x
  3. Step 3: Cross multiply
    1,947.89x = 2,687.99 × 1,201.92
  4. Step 4: Simplify right side
    1,947.89x = 3,230,742.93
  5. Step 5: Solve for x
    x = 3,230,742.93/1,947.89
  6. Step 6: Final answer
    x = 1,658.59

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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.