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Finding the Fourth Proportional to 2,759.82, 4,139.22 and 811.53

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Solution

The fourth proportional to 2,759.82, 4,139.22 and 811.53 is: 1,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.82 : 4,139.22 = 811.53 : x
  2. Step 2: Convert to fraction form
    2,759.82/4,139.22 = 811.53/x
  3. Step 3: Cross multiply
    2,759.82x = 4,139.22 × 811.53
  4. Step 4: Simplify right side
    2,759.82x = 3,359,101.21
  5. Step 5: Solve for x
    x = 3,359,101.21/2,759.82
  6. Step 6: Final answer
    x = 1,217.15

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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.