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Finding the Fourth Proportional to 2,163.78, 3,245.40 and 865.26

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Solution

The fourth proportional to 2,163.78, 3,245.40 and 865.26 is: 1,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.78 : 3,245.40 = 865.26 : x
  2. Step 2: Convert to fraction form
    2,163.78/3,245.40 = 865.26/x
  3. Step 3: Cross multiply
    2,163.78x = 3,245.40 × 865.26
  4. Step 4: Simplify right side
    2,163.78x = 2,808,114.80
  5. Step 5: Solve for x
    x = 2,808,114.80/2,163.78
  6. Step 6: Final answer
    x = 1,297.78

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Why These Related Problems?

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