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Finding the Fourth Proportional to 2,568.68, 3,853.02 and 1,199.72

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Solution

The fourth proportional to 2,568.68, 3,853.02 and 1,199.72 is: 1,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.68 : 3,853.02 = 1,199.72 : x
  2. Step 2: Convert to fraction form
    2,568.68/3,853.02 = 1,199.72/x
  3. Step 3: Cross multiply
    2,568.68x = 3,853.02 × 1,199.72
  4. Step 4: Simplify right side
    2,568.68x = 4,622,545.15
  5. Step 5: Solve for x
    x = 4,622,545.15/2,568.68
  6. Step 6: Final answer
    x = 1,799.58

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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.