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Finding the Fourth Proportional to 2,822.68, 4,231.50 and 1,727.56

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Solution

The fourth proportional to 2,822.68, 4,231.50 and 1,727.56 is: 2,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.68 : 4,231.50 = 1,727.56 : x
  2. Step 2: Convert to fraction form
    2,822.68/4,231.50 = 1,727.56/x
  3. Step 3: Cross multiply
    2,822.68x = 4,231.50 × 1,727.56
  4. Step 4: Simplify right side
    2,822.68x = 7,310,170.14
  5. Step 5: Solve for x
    x = 7,310,170.14/2,822.68
  6. Step 6: Final answer
    x = 2,589.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.