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Finding the Fourth Proportional to 2,822.22, 3,894.21 and 1,773.54

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Solution

The fourth proportional to 2,822.22, 3,894.21 and 1,773.54 is: 2,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.22 : 3,894.21 = 1,773.54 : x
  2. Step 2: Convert to fraction form
    2,822.22/3,894.21 = 1,773.54/x
  3. Step 3: Cross multiply
    2,822.22x = 3,894.21 × 1,773.54
  4. Step 4: Simplify right side
    2,822.22x = 6,906,537.20
  5. Step 5: Solve for x
    x = 6,906,537.20/2,822.22
  6. Step 6: Final answer
    x = 2,447.20

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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.