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Finding the Fourth Proportional to 2,781, 3,839.17 and 1,601.84

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Solution

The fourth proportional to 2,781, 3,839.17 and 1,601.84 is: 2,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 3,839.17 = 1,601.84 : x
  2. Step 2: Convert to fraction form
    2,781/3,839.17 = 1,601.84/x
  3. Step 3: Cross multiply
    2,781x = 3,839.17 × 1,601.84
  4. Step 4: Simplify right side
    2,781x = 6,149,728.06
  5. Step 5: Solve for x
    x = 6,149,728.06/2,781
  6. Step 6: Final answer
    x = 2,211.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.