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Finding the Fourth Proportional to 2,757.66, 4,136.94 and 1,278.36

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Solution

The fourth proportional to 2,757.66, 4,136.94 and 1,278.36 is: 1,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.66 : 4,136.94 = 1,278.36 : x
  2. Step 2: Convert to fraction form
    2,757.66/4,136.94 = 1,278.36/x
  3. Step 3: Cross multiply
    2,757.66x = 4,136.94 × 1,278.36
  4. Step 4: Simplify right side
    2,757.66x = 5,288,498.62
  5. Step 5: Solve for x
    x = 5,288,498.62/2,757.66
  6. Step 6: Final answer
    x = 1,917.75

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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.