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Finding the Fourth Proportional to 2,813.62, 4,213.86 and 2,224.66

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Solution

The fourth proportional to 2,813.62, 4,213.86 and 2,224.66 is: 3,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.62 : 4,213.86 = 2,224.66 : x
  2. Step 2: Convert to fraction form
    2,813.62/4,213.86 = 2,224.66/x
  3. Step 3: Cross multiply
    2,813.62x = 4,213.86 × 2,224.66
  4. Step 4: Simplify right side
    2,813.62x = 9,374,405.79
  5. Step 5: Solve for x
    x = 9,374,405.79/2,813.62
  6. Step 6: Final answer
    x = 3,331.80

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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.