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Finding the Fourth Proportional to 2,759.68, 4,139.10 and 811.72

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Solution

The fourth proportional to 2,759.68, 4,139.10 and 811.72 is: 1,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.68 : 4,139.10 = 811.72 : x
  2. Step 2: Convert to fraction form
    2,759.68/4,139.10 = 811.72/x
  3. Step 3: Cross multiply
    2,759.68x = 4,139.10 × 811.72
  4. Step 4: Simplify right side
    2,759.68x = 3,359,790.25
  5. Step 5: Solve for x
    x = 3,359,790.25/2,759.68
  6. Step 6: Final answer
    x = 1,217.46

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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.