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Finding the Fourth Proportional to 2,759.17, 4,138.77 and 811.40

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Solution

The fourth proportional to 2,759.17, 4,138.77 and 811.40 is: 1,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.17 : 4,138.77 = 811.40 : x
  2. Step 2: Convert to fraction form
    2,759.17/4,138.77 = 811.40/x
  3. Step 3: Cross multiply
    2,759.17x = 4,138.77 × 811.40
  4. Step 4: Simplify right side
    2,759.17x = 3,358,197.98
  5. Step 5: Solve for x
    x = 3,358,197.98/2,759.17
  6. Step 6: Final answer
    x = 1,217.10

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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.