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Finding the Fourth Proportional to 2,092.19, 3,138.69 and 997.78

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Solution

The fourth proportional to 2,092.19, 3,138.69 and 997.78 is: 1,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.19 : 3,138.69 = 997.78 : x
  2. Step 2: Convert to fraction form
    2,092.19/3,138.69 = 997.78/x
  3. Step 3: Cross multiply
    2,092.19x = 3,138.69 × 997.78
  4. Step 4: Simplify right side
    2,092.19x = 3,131,722.11
  5. Step 5: Solve for x
    x = 3,131,722.11/2,092.19
  6. Step 6: Final answer
    x = 1,496.86

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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.