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Finding the Fourth Proportional to 2,597.18, 3,896.44 and 748.44

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Solution

The fourth proportional to 2,597.18, 3,896.44 and 748.44 is: 1,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.18 : 3,896.44 = 748.44 : x
  2. Step 2: Convert to fraction form
    2,597.18/3,896.44 = 748.44/x
  3. Step 3: Cross multiply
    2,597.18x = 3,896.44 × 748.44
  4. Step 4: Simplify right side
    2,597.18x = 2,916,249.68
  5. Step 5: Solve for x
    x = 2,916,249.68/2,597.18
  6. Step 6: Final answer
    x = 1,122.85

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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.