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Finding the Fourth Proportional to 2,016.66, 3,024.26 and 1,092.90

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Solution

The fourth proportional to 2,016.66, 3,024.26 and 1,092.90 is: 1,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.66 : 3,024.26 = 1,092.90 : x
  2. Step 2: Convert to fraction form
    2,016.66/3,024.26 = 1,092.90/x
  3. Step 3: Cross multiply
    2,016.66x = 3,024.26 × 1,092.90
  4. Step 4: Simplify right side
    2,016.66x = 3,305,213.75
  5. Step 5: Solve for x
    x = 3,305,213.75/2,016.66
  6. Step 6: Final answer
    x = 1,638.95

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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.