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Finding the Fourth Proportional to 2,867.67, 3,956.85 and 1,983.15

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Solution

The fourth proportional to 2,867.67, 3,956.85 and 1,983.15 is: 2,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.67 : 3,956.85 = 1,983.15 : x
  2. Step 2: Convert to fraction form
    2,867.67/3,956.85 = 1,983.15/x
  3. Step 3: Cross multiply
    2,867.67x = 3,956.85 × 1,983.15
  4. Step 4: Simplify right side
    2,867.67x = 7,847,027.08
  5. Step 5: Solve for x
    x = 7,847,027.08/2,867.67
  6. Step 6: Final answer
    x = 2,736.38

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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.