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Finding the Fourth Proportional to 2,226.98, 3,059.46 and 1,993.97

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Solution

The fourth proportional to 2,226.98, 3,059.46 and 1,993.97 is: 2,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.98 : 3,059.46 = 1,993.97 : x
  2. Step 2: Convert to fraction form
    2,226.98/3,059.46 = 1,993.97/x
  3. Step 3: Cross multiply
    2,226.98x = 3,059.46 × 1,993.97
  4. Step 4: Simplify right side
    2,226.98x = 6,100,471.46
  5. Step 5: Solve for x
    x = 6,100,471.46/2,226.98
  6. Step 6: Final answer
    x = 2,739.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.