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Finding the Fourth Proportional to 2,716.62, 4,073.54 and 1,327.88

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Solution

The fourth proportional to 2,716.62, 4,073.54 and 1,327.88 is: 1,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.62 : 4,073.54 = 1,327.88 : x
  2. Step 2: Convert to fraction form
    2,716.62/4,073.54 = 1,327.88/x
  3. Step 3: Cross multiply
    2,716.62x = 4,073.54 × 1,327.88
  4. Step 4: Simplify right side
    2,716.62x = 5,409,145.29
  5. Step 5: Solve for x
    x = 5,409,145.29/2,716.62
  6. Step 6: Final answer
    x = 1,991.13

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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.