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Finding the Fourth Proportional to 1,380.24, 2,067.12 and 892.62

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Solution

The fourth proportional to 1,380.24, 2,067.12 and 892.62 is: 1,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.24 : 2,067.12 = 892.62 : x
  2. Step 2: Convert to fraction form
    1,380.24/2,067.12 = 892.62/x
  3. Step 3: Cross multiply
    1,380.24x = 2,067.12 × 892.62
  4. Step 4: Simplify right side
    1,380.24x = 1,845,152.65
  5. Step 5: Solve for x
    x = 1,845,152.65/1,380.24
  6. Step 6: Final answer
    x = 1,336.83

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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.