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Finding the Fourth Proportional to 3,222.02, 4,842.25 and 1,906.48

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Solution

The fourth proportional to 3,222.02, 4,842.25 and 1,906.48 is: 2,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.02 : 4,842.25 = 1,906.48 : x
  2. Step 2: Convert to fraction form
    3,222.02/4,842.25 = 1,906.48/x
  3. Step 3: Cross multiply
    3,222.02x = 4,842.25 × 1,906.48
  4. Step 4: Simplify right side
    3,222.02x = 9,231,652.78
  5. Step 5: Solve for x
    x = 9,231,652.78/3,222.02
  6. Step 6: Final answer
    x = 2,865.18

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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.