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Finding the Fourth Proportional to 2,213.21, 3,319.62 and 825.93

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Solution

The fourth proportional to 2,213.21, 3,319.62 and 825.93 is: 1,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.21 : 3,319.62 = 825.93 : x
  2. Step 2: Convert to fraction form
    2,213.21/3,319.62 = 825.93/x
  3. Step 3: Cross multiply
    2,213.21x = 3,319.62 × 825.93
  4. Step 4: Simplify right side
    2,213.21x = 2,741,773.75
  5. Step 5: Solve for x
    x = 2,741,773.75/2,213.21
  6. Step 6: Final answer
    x = 1,238.82

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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.