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Finding the Fourth Proportional to 3,222.54, 4,829.22 and 1,906.56

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Solution

The fourth proportional to 3,222.54, 4,829.22 and 1,906.56 is: 2,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.54 : 4,829.22 = 1,906.56 : x
  2. Step 2: Convert to fraction form
    3,222.54/4,829.22 = 1,906.56/x
  3. Step 3: Cross multiply
    3,222.54x = 4,829.22 × 1,906.56
  4. Step 4: Simplify right side
    3,222.54x = 9,207,197.68
  5. Step 5: Solve for x
    x = 9,207,197.68/3,222.54
  6. Step 6: Final answer
    x = 2,857.12

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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.