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Finding the Fourth Proportional to 3,201.64, 4,799.16 and 1,226.80

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Solution

The fourth proportional to 3,201.64, 4,799.16 and 1,226.80 is: 1,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.64 : 4,799.16 = 1,226.80 : x
  2. Step 2: Convert to fraction form
    3,201.64/4,799.16 = 1,226.80/x
  3. Step 3: Cross multiply
    3,201.64x = 4,799.16 × 1,226.80
  4. Step 4: Simplify right side
    3,201.64x = 5,887,609.49
  5. Step 5: Solve for x
    x = 5,887,609.49/3,201.64
  6. Step 6: Final answer
    x = 1,838.94

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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.