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Finding the Fourth Proportional to 2,747, 4,122.12 and 1,186.96

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Solution

The fourth proportional to 2,747, 4,122.12 and 1,186.96 is: 1,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747 : 4,122.12 = 1,186.96 : x
  2. Step 2: Convert to fraction form
    2,747/4,122.12 = 1,186.96/x
  3. Step 3: Cross multiply
    2,747x = 4,122.12 × 1,186.96
  4. Step 4: Simplify right side
    2,747x = 4,892,791.56
  5. Step 5: Solve for x
    x = 4,892,791.56/2,747
  6. Step 6: Final answer
    x = 1,781.14

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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.