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Finding the Fourth Proportional to 2,214.86, 3,322.22 and 827.73

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Solution

The fourth proportional to 2,214.86, 3,322.22 and 827.73 is: 1,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.86 : 3,322.22 = 827.73 : x
  2. Step 2: Convert to fraction form
    2,214.86/3,322.22 = 827.73/x
  3. Step 3: Cross multiply
    2,214.86x = 3,322.22 × 827.73
  4. Step 4: Simplify right side
    2,214.86x = 2,749,897.02
  5. Step 5: Solve for x
    x = 2,749,897.02/2,214.86
  6. Step 6: Final answer
    x = 1,241.57

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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.