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Finding the Fourth Proportional to 2,092.08, 3,140.52 and 1,227

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Solution

The fourth proportional to 2,092.08, 3,140.52 and 1,227 is: 1,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.08 : 3,140.52 = 1,227 : x
  2. Step 2: Convert to fraction form
    2,092.08/3,140.52 = 1,227/x
  3. Step 3: Cross multiply
    2,092.08x = 3,140.52 × 1,227
  4. Step 4: Simplify right side
    2,092.08x = 3,853,418.04
  5. Step 5: Solve for x
    x = 3,853,418.04/2,092.08
  6. Step 6: Final answer
    x = 1,841.91

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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.