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Finding the Fourth Proportional to 3,203.97, 4,801.09 and 2,378.38

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Solution

The fourth proportional to 3,203.97, 4,801.09 and 2,378.38 is: 3,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.97 : 4,801.09 = 2,378.38 : x
  2. Step 2: Convert to fraction form
    3,203.97/4,801.09 = 2,378.38/x
  3. Step 3: Cross multiply
    3,203.97x = 4,801.09 × 2,378.38
  4. Step 4: Simplify right side
    3,203.97x = 11,418,816.43
  5. Step 5: Solve for x
    x = 11,418,816.43/3,203.97
  6. Step 6: Final answer
    x = 3,563.96

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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.