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Finding the Fourth Proportional to 2,270.70, 3,146.72 and 2,226.96

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Solution

The fourth proportional to 2,270.70, 3,146.72 and 2,226.96 is: 3,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.70 : 3,146.72 = 2,226.96 : x
  2. Step 2: Convert to fraction form
    2,270.70/3,146.72 = 2,226.96/x
  3. Step 3: Cross multiply
    2,270.70x = 3,146.72 × 2,226.96
  4. Step 4: Simplify right side
    2,270.70x = 7,007,608.44
  5. Step 5: Solve for x
    x = 7,007,608.44/2,270.70
  6. Step 6: Final answer
    x = 3,086.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.