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Finding the Fourth Proportional to 2,727.84, 4,092.58 and 2,112.24

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Solution

The fourth proportional to 2,727.84, 4,092.58 and 2,112.24 is: 3,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.84 : 4,092.58 = 2,112.24 : x
  2. Step 2: Convert to fraction form
    2,727.84/4,092.58 = 2,112.24/x
  3. Step 3: Cross multiply
    2,727.84x = 4,092.58 × 2,112.24
  4. Step 4: Simplify right side
    2,727.84x = 8,644,511.18
  5. Step 5: Solve for x
    x = 8,644,511.18/2,727.84
  6. Step 6: Final answer
    x = 3,168.99

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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.