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Finding the Fourth Proportional to 2,266.41, 3,396.78 and 966.36

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Solution

The fourth proportional to 2,266.41, 3,396.78 and 966.36 is: 1,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.41 : 3,396.78 = 966.36 : x
  2. Step 2: Convert to fraction form
    2,266.41/3,396.78 = 966.36/x
  3. Step 3: Cross multiply
    2,266.41x = 3,396.78 × 966.36
  4. Step 4: Simplify right side
    2,266.41x = 3,282,512.32
  5. Step 5: Solve for x
    x = 3,282,512.32/2,266.41
  6. Step 6: Final answer
    x = 1,448.33

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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.