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Finding the Fourth Proportional to 3,223.81, 4,446.49 and 2,027.64

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Solution

The fourth proportional to 3,223.81, 4,446.49 and 2,027.64 is: 2,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.81 : 4,446.49 = 2,027.64 : x
  2. Step 2: Convert to fraction form
    3,223.81/4,446.49 = 2,027.64/x
  3. Step 3: Cross multiply
    3,223.81x = 4,446.49 × 2,027.64
  4. Step 4: Simplify right side
    3,223.81x = 9,015,880.98
  5. Step 5: Solve for x
    x = 9,015,880.98/3,223.81
  6. Step 6: Final answer
    x = 2,796.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.