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Finding the Fourth Proportional to 2,822.44, 3,894.68 and 1,627.10

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Solution

The fourth proportional to 2,822.44, 3,894.68 and 1,627.10 is: 2,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.44 : 3,894.68 = 1,627.10 : x
  2. Step 2: Convert to fraction form
    2,822.44/3,894.68 = 1,627.10/x
  3. Step 3: Cross multiply
    2,822.44x = 3,894.68 × 1,627.10
  4. Step 4: Simplify right side
    2,822.44x = 6,337,033.83
  5. Step 5: Solve for x
    x = 6,337,033.83/2,822.44
  6. Step 6: Final answer
    x = 2,245.23

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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.