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Finding the Fourth Proportional to 2,759.88, 4,139.62 and 811.92

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Solution

The fourth proportional to 2,759.88, 4,139.62 and 811.92 is: 1,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.88 : 4,139.62 = 811.92 : x
  2. Step 2: Convert to fraction form
    2,759.88/4,139.62 = 811.92/x
  3. Step 3: Cross multiply
    2,759.88x = 4,139.62 × 811.92
  4. Step 4: Simplify right side
    2,759.88x = 3,361,040.27
  5. Step 5: Solve for x
    x = 3,361,040.27/2,759.88
  6. Step 6: Final answer
    x = 1,217.82

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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.