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Finding the Fourth Proportional to 2,568.29, 3,544.83 and 2,147.92

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Solution

The fourth proportional to 2,568.29, 3,544.83 and 2,147.92 is: 2,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.29 : 3,544.83 = 2,147.92 : x
  2. Step 2: Convert to fraction form
    2,568.29/3,544.83 = 2,147.92/x
  3. Step 3: Cross multiply
    2,568.29x = 3,544.83 × 2,147.92
  4. Step 4: Simplify right side
    2,568.29x = 7,614,002.39
  5. Step 5: Solve for x
    x = 7,614,002.39/2,568.29
  6. Step 6: Final answer
    x = 2,964.63

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