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Finding the Fourth Proportional to 2,278.56, 3,400.83 and 2,223.21

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Solution

The fourth proportional to 2,278.56, 3,400.83 and 2,223.21 is: 3,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.56 : 3,400.83 = 2,223.21 : x
  2. Step 2: Convert to fraction form
    2,278.56/3,400.83 = 2,223.21/x
  3. Step 3: Cross multiply
    2,278.56x = 3,400.83 × 2,223.21
  4. Step 4: Simplify right side
    2,278.56x = 7,560,759.26
  5. Step 5: Solve for x
    x = 7,560,759.26/2,278.56
  6. Step 6: Final answer
    x = 3,318.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.