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Finding the Fourth Proportional to 2,727.71, 4,091.52 and 675.71

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Solution

The fourth proportional to 2,727.71, 4,091.52 and 675.71 is: 1,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.71 : 4,091.52 = 675.71 : x
  2. Step 2: Convert to fraction form
    2,727.71/4,091.52 = 675.71/x
  3. Step 3: Cross multiply
    2,727.71x = 4,091.52 × 675.71
  4. Step 4: Simplify right side
    2,727.71x = 2,764,680.98
  5. Step 5: Solve for x
    x = 2,764,680.98/2,727.71
  6. Step 6: Final answer
    x = 1,013.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.