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Finding the Fourth Proportional to 2,226.70, 3,072.93 and 1,231.97

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Solution

The fourth proportional to 2,226.70, 3,072.93 and 1,231.97 is: 1,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.70 : 3,072.93 = 1,231.97 : x
  2. Step 2: Convert to fraction form
    2,226.70/3,072.93 = 1,231.97/x
  3. Step 3: Cross multiply
    2,226.70x = 3,072.93 × 1,231.97
  4. Step 4: Simplify right side
    2,226.70x = 3,785,757.57
  5. Step 5: Solve for x
    x = 3,785,757.57/2,226.70
  6. Step 6: Final answer
    x = 1,700.17

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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.