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Finding the Fourth Proportional to 2,759.14, 4,138.17 and 810.82

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Solution

The fourth proportional to 2,759.14, 4,138.17 and 810.82 is: 1,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.14 : 4,138.17 = 810.82 : x
  2. Step 2: Convert to fraction form
    2,759.14/4,138.17 = 810.82/x
  3. Step 3: Cross multiply
    2,759.14x = 4,138.17 × 810.82
  4. Step 4: Simplify right side
    2,759.14x = 3,355,311.00
  5. Step 5: Solve for x
    x = 3,355,311.00/2,759.14
  6. Step 6: Final answer
    x = 1,216.07

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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.