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Finding the Fourth Proportional to 2,600.26, 3,900.41 and 751.39

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Solution

The fourth proportional to 2,600.26, 3,900.41 and 751.39 is: 1,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.26 : 3,900.41 = 751.39 : x
  2. Step 2: Convert to fraction form
    2,600.26/3,900.41 = 751.39/x
  3. Step 3: Cross multiply
    2,600.26x = 3,900.41 × 751.39
  4. Step 4: Simplify right side
    2,600.26x = 2,930,721.20
  5. Step 5: Solve for x
    x = 2,930,721.20/2,600.26
  6. Step 6: Final answer
    x = 1,127.09

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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.