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Finding the Fourth Proportional to 1,997.72, 3,011.79 and 1,856.78

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Solution

The fourth proportional to 1,997.72, 3,011.79 and 1,856.78 is: 2,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.72 : 3,011.79 = 1,856.78 : x
  2. Step 2: Convert to fraction form
    1,997.72/3,011.79 = 1,856.78/x
  3. Step 3: Cross multiply
    1,997.72x = 3,011.79 × 1,856.78
  4. Step 4: Simplify right side
    1,997.72x = 5,592,231.44
  5. Step 5: Solve for x
    x = 5,592,231.44/1,997.72
  6. Step 6: Final answer
    x = 2,799.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.