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Finding the Fourth Proportional to 2,266.08, 3,399.31 and 967.56

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Solution

The fourth proportional to 2,266.08, 3,399.31 and 967.56 is: 1,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.08 : 3,399.31 = 967.56 : x
  2. Step 2: Convert to fraction form
    2,266.08/3,399.31 = 967.56/x
  3. Step 3: Cross multiply
    2,266.08x = 3,399.31 × 967.56
  4. Step 4: Simplify right side
    2,266.08x = 3,289,036.38
  5. Step 5: Solve for x
    x = 3,289,036.38/2,266.08
  6. Step 6: Final answer
    x = 1,451.42

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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.