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Finding the Fourth Proportional to 1,789.72, 2,472.82 and 1,591.50

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Solution

The fourth proportional to 1,789.72, 2,472.82 and 1,591.50 is: 2,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.72 : 2,472.82 = 1,591.50 : x
  2. Step 2: Convert to fraction form
    1,789.72/2,472.82 = 1,591.50/x
  3. Step 3: Cross multiply
    1,789.72x = 2,472.82 × 1,591.50
  4. Step 4: Simplify right side
    1,789.72x = 3,935,493.03
  5. Step 5: Solve for x
    x = 3,935,493.03/1,789.72
  6. Step 6: Final answer
    x = 2,198.94

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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.