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Finding the Fourth Proportional to 2,266, 3,399 and 1,096.12

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Solution

The fourth proportional to 2,266, 3,399 and 1,096.12 is: 1,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266 : 3,399 = 1,096.12 : x
  2. Step 2: Convert to fraction form
    2,266/3,399 = 1,096.12/x
  3. Step 3: Cross multiply
    2,266x = 3,399 × 1,096.12
  4. Step 4: Simplify right side
    2,266x = 3,725,711.88
  5. Step 5: Solve for x
    x = 3,725,711.88/2,266
  6. Step 6: Final answer
    x = 1,644.18

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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.