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Finding the Fourth Proportional to 1,280.32, 1,909.52 and 1,096

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Solution

The fourth proportional to 1,280.32, 1,909.52 and 1,096 is: 1,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.32 : 1,909.52 = 1,096 : x
  2. Step 2: Convert to fraction form
    1,280.32/1,909.52 = 1,096/x
  3. Step 3: Cross multiply
    1,280.32x = 1,909.52 × 1,096
  4. Step 4: Simplify right side
    1,280.32x = 2,092,833.92
  5. Step 5: Solve for x
    x = 2,092,833.92/1,280.32
  6. Step 6: Final answer
    x = 1,634.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.