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Finding the Fourth Proportional to 2,991.56, 4,478.82 and 1,992.42

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Solution

The fourth proportional to 2,991.56, 4,478.82 and 1,992.42 is: 2,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.56 : 4,478.82 = 1,992.42 : x
  2. Step 2: Convert to fraction form
    2,991.56/4,478.82 = 1,992.42/x
  3. Step 3: Cross multiply
    2,991.56x = 4,478.82 × 1,992.42
  4. Step 4: Simplify right side
    2,991.56x = 8,923,690.54
  5. Step 5: Solve for x
    x = 8,923,690.54/2,991.56
  6. Step 6: Final answer
    x = 2,982.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.