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Finding the Fourth Proportional to 2,759.49, 4,139.28 and 811.71

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Solution

The fourth proportional to 2,759.49, 4,139.28 and 811.71 is: 1,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.49 : 4,139.28 = 811.71 : x
  2. Step 2: Convert to fraction form
    2,759.49/4,139.28 = 811.71/x
  3. Step 3: Cross multiply
    2,759.49x = 4,139.28 × 811.71
  4. Step 4: Simplify right side
    2,759.49x = 3,359,894.97
  5. Step 5: Solve for x
    x = 3,359,894.97/2,759.49
  6. Step 6: Final answer
    x = 1,217.58

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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.