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Finding the Fourth Proportional to 2,766.66, 4,151.82 and 1,305.92

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Solution

The fourth proportional to 2,766.66, 4,151.82 and 1,305.92 is: 1,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.66 : 4,151.82 = 1,305.92 : x
  2. Step 2: Convert to fraction form
    2,766.66/4,151.82 = 1,305.92/x
  3. Step 3: Cross multiply
    2,766.66x = 4,151.82 × 1,305.92
  4. Step 4: Simplify right side
    2,766.66x = 5,421,960.05
  5. Step 5: Solve for x
    x = 5,421,960.05/2,766.66
  6. Step 6: Final answer
    x = 1,959.75

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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.