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Finding the Fourth Proportional to 2,213.91, 3,319.38 and 825.57

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Solution

The fourth proportional to 2,213.91, 3,319.38 and 825.57 is: 1,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.91 : 3,319.38 = 825.57 : x
  2. Step 2: Convert to fraction form
    2,213.91/3,319.38 = 825.57/x
  3. Step 3: Cross multiply
    2,213.91x = 3,319.38 × 825.57
  4. Step 4: Simplify right side
    2,213.91x = 2,740,380.55
  5. Step 5: Solve for x
    x = 2,740,380.55/2,213.91
  6. Step 6: Final answer
    x = 1,237.80

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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.