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Finding the Fourth Proportional to 2,600.26, 3,900.34 and 751.30

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Solution

The fourth proportional to 2,600.26, 3,900.34 and 751.30 is: 1,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.26 : 3,900.34 = 751.30 : x
  2. Step 2: Convert to fraction form
    2,600.26/3,900.34 = 751.30/x
  3. Step 3: Cross multiply
    2,600.26x = 3,900.34 × 751.30
  4. Step 4: Simplify right side
    2,600.26x = 2,930,325.44
  5. Step 5: Solve for x
    x = 2,930,325.44/2,600.26
  6. Step 6: Final answer
    x = 1,126.94

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1.5x scale

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.