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Finding the Fourth Proportional to 2,568.72, 3,853.14 and 1,183.22

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Solution

The fourth proportional to 2,568.72, 3,853.14 and 1,183.22 is: 1,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.72 : 3,853.14 = 1,183.22 : x
  2. Step 2: Convert to fraction form
    2,568.72/3,853.14 = 1,183.22/x
  3. Step 3: Cross multiply
    2,568.72x = 3,853.14 × 1,183.22
  4. Step 4: Simplify right side
    2,568.72x = 4,559,093.05
  5. Step 5: Solve for x
    x = 4,559,093.05/2,568.72
  6. Step 6: Final answer
    x = 1,774.85

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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.