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Finding the Fourth Proportional to 2,767.71, 4,158.74 and 2,080.85

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Solution

The fourth proportional to 2,767.71, 4,158.74 and 2,080.85 is: 3,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.71 : 4,158.74 = 2,080.85 : x
  2. Step 2: Convert to fraction form
    2,767.71/4,158.74 = 2,080.85/x
  3. Step 3: Cross multiply
    2,767.71x = 4,158.74 × 2,080.85
  4. Step 4: Simplify right side
    2,767.71x = 8,653,729.73
  5. Step 5: Solve for x
    x = 8,653,729.73/2,767.71
  6. Step 6: Final answer
    x = 3,126.68

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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.