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Finding the Fourth Proportional to 3,204, 4,796.64 and 2,276.64

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Solution

The fourth proportional to 3,204, 4,796.64 and 2,276.64 is: 3,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 4,796.64 = 2,276.64 : x
  2. Step 2: Convert to fraction form
    3,204/4,796.64 = 2,276.64/x
  3. Step 3: Cross multiply
    3,204x = 4,796.64 × 2,276.64
  4. Step 4: Simplify right side
    3,204x = 10,920,222.49
  5. Step 5: Solve for x
    x = 10,920,222.49/3,204
  6. Step 6: Final answer
    x = 3,408.31

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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.