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Finding the Fourth Proportional to 2,066.31, 3,099.66 and 911.43

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Solution

The fourth proportional to 2,066.31, 3,099.66 and 911.43 is: 1,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.31 : 3,099.66 = 911.43 : x
  2. Step 2: Convert to fraction form
    2,066.31/3,099.66 = 911.43/x
  3. Step 3: Cross multiply
    2,066.31x = 3,099.66 × 911.43
  4. Step 4: Simplify right side
    2,066.31x = 2,825,123.11
  5. Step 5: Solve for x
    x = 2,825,123.11/2,066.31
  6. Step 6: Final answer
    x = 1,367.23

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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.