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Finding the Fourth Proportional to 2,066.27, 3,096.27 and 1,243.62

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Solution

The fourth proportional to 2,066.27, 3,096.27 and 1,243.62 is: 1,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.27 : 3,096.27 = 1,243.62 : x
  2. Step 2: Convert to fraction form
    2,066.27/3,096.27 = 1,243.62/x
  3. Step 3: Cross multiply
    2,066.27x = 3,096.27 × 1,243.62
  4. Step 4: Simplify right side
    2,066.27x = 3,850,583.30
  5. Step 5: Solve for x
    x = 3,850,583.30/2,066.27
  6. Step 6: Final answer
    x = 1,863.55

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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.