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Finding the Fourth Proportional to 2,266.79, 3,399.37 and 966.74

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Solution

The fourth proportional to 2,266.79, 3,399.37 and 966.74 is: 1,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.79 : 3,399.37 = 966.74 : x
  2. Step 2: Convert to fraction form
    2,266.79/3,399.37 = 966.74/x
  3. Step 3: Cross multiply
    2,266.79x = 3,399.37 × 966.74
  4. Step 4: Simplify right side
    2,266.79x = 3,286,287.54
  5. Step 5: Solve for x
    x = 3,286,287.54/2,266.79
  6. Step 6: Final answer
    x = 1,449.76

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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.