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Finding the Fourth Proportional to 2,213.26, 3,319.91 and 752.52

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Solution

The fourth proportional to 2,213.26, 3,319.91 and 752.52 is: 1,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.26 : 3,319.91 = 752.52 : x
  2. Step 2: Convert to fraction form
    2,213.26/3,319.91 = 752.52/x
  3. Step 3: Cross multiply
    2,213.26x = 3,319.91 × 752.52
  4. Step 4: Simplify right side
    2,213.26x = 2,498,310.18
  5. Step 5: Solve for x
    x = 2,498,310.18/2,213.26
  6. Step 6: Final answer
    x = 1,128.79

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