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Finding the Fourth Proportional to 2,568.78, 3,834.59 and 2,257.38

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Solution

The fourth proportional to 2,568.78, 3,834.59 and 2,257.38 is: 3,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.78 : 3,834.59 = 2,257.38 : x
  2. Step 2: Convert to fraction form
    2,568.78/3,834.59 = 2,257.38/x
  3. Step 3: Cross multiply
    2,568.78x = 3,834.59 × 2,257.38
  4. Step 4: Simplify right side
    2,568.78x = 8,656,115.49
  5. Step 5: Solve for x
    x = 8,656,115.49/2,568.78
  6. Step 6: Final answer
    x = 3,369.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.