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Finding the Fourth Proportional to 2,192.18, 3,286.59 and 892.82

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Solution

The fourth proportional to 2,192.18, 3,286.59 and 892.82 is: 1,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.18 : 3,286.59 = 892.82 : x
  2. Step 2: Convert to fraction form
    2,192.18/3,286.59 = 892.82/x
  3. Step 3: Cross multiply
    2,192.18x = 3,286.59 × 892.82
  4. Step 4: Simplify right side
    2,192.18x = 2,934,333.28
  5. Step 5: Solve for x
    x = 2,934,333.28/2,192.18
  6. Step 6: Final answer
    x = 1,338.55

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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.