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Finding the Fourth Proportional to 2,727.44, 4,091.16 and 675.44

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Solution

The fourth proportional to 2,727.44, 4,091.16 and 675.44 is: 1,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.44 : 4,091.16 = 675.44 : x
  2. Step 2: Convert to fraction form
    2,727.44/4,091.16 = 675.44/x
  3. Step 3: Cross multiply
    2,727.44x = 4,091.16 × 675.44
  4. Step 4: Simplify right side
    2,727.44x = 2,763,333.11
  5. Step 5: Solve for x
    x = 2,763,333.11/2,727.44
  6. Step 6: Final answer
    x = 1,013.16

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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.