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Finding the Fourth Proportional to 2,908.92, 4,013 and 1,789.76

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Solution

The fourth proportional to 2,908.92, 4,013 and 1,789.76 is: 2,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.92 : 4,013 = 1,789.76 : x
  2. Step 2: Convert to fraction form
    2,908.92/4,013 = 1,789.76/x
  3. Step 3: Cross multiply
    2,908.92x = 4,013 × 1,789.76
  4. Step 4: Simplify right side
    2,908.92x = 7,182,306.88
  5. Step 5: Solve for x
    x = 7,182,306.88/2,908.92
  6. Step 6: Final answer
    x = 2,469.06

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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.