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Finding the Fourth Proportional to 3,273.08, 4,906.85 and 1,422.80

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Solution

The fourth proportional to 3,273.08, 4,906.85 and 1,422.80 is: 2,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.08 : 4,906.85 = 1,422.80 : x
  2. Step 2: Convert to fraction form
    3,273.08/4,906.85 = 1,422.80/x
  3. Step 3: Cross multiply
    3,273.08x = 4,906.85 × 1,422.80
  4. Step 4: Simplify right side
    3,273.08x = 6,981,466.18
  5. Step 5: Solve for x
    x = 6,981,466.18/3,273.08
  6. Step 6: Final answer
    x = 2,133.00

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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.