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Finding the Fourth Proportional to 2,727.82, 4,091.76 and 675.82

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Solution

The fourth proportional to 2,727.82, 4,091.76 and 675.82 is: 1,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.82 : 4,091.76 = 675.82 : x
  2. Step 2: Convert to fraction form
    2,727.82/4,091.76 = 675.82/x
  3. Step 3: Cross multiply
    2,727.82x = 4,091.76 × 675.82
  4. Step 4: Simplify right side
    2,727.82x = 2,765,293.24
  5. Step 5: Solve for x
    x = 2,765,293.24/2,727.82
  6. Step 6: Final answer
    x = 1,013.74

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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.