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Finding the Fourth Proportional to 2,154.26, 3,226.17 and 1,227

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Solution

The fourth proportional to 2,154.26, 3,226.17 and 1,227 is: 1,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.26 : 3,226.17 = 1,227 : x
  2. Step 2: Convert to fraction form
    2,154.26/3,226.17 = 1,227/x
  3. Step 3: Cross multiply
    2,154.26x = 3,226.17 × 1,227
  4. Step 4: Simplify right side
    2,154.26x = 3,958,510.59
  5. Step 5: Solve for x
    x = 3,958,510.59/2,154.26
  6. Step 6: Final answer
    x = 1,837.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.