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Finding the Fourth Proportional to 2,822.27, 3,894.73 and 1,627.25

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Solution

The fourth proportional to 2,822.27, 3,894.73 and 1,627.25 is: 2,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.27 : 3,894.73 = 1,627.25 : x
  2. Step 2: Convert to fraction form
    2,822.27/3,894.73 = 1,627.25/x
  3. Step 3: Cross multiply
    2,822.27x = 3,894.73 × 1,627.25
  4. Step 4: Simplify right side
    2,822.27x = 6,337,691.26
  5. Step 5: Solve for x
    x = 6,337,691.26/2,822.27
  6. Step 6: Final answer
    x = 2,245.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.