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Finding the Fourth Proportional to 2,912.09, 4,361.11 and 2,035.47

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Solution

The fourth proportional to 2,912.09, 4,361.11 and 2,035.47 is: 3,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.09 : 4,361.11 = 2,035.47 : x
  2. Step 2: Convert to fraction form
    2,912.09/4,361.11 = 2,035.47/x
  3. Step 3: Cross multiply
    2,912.09x = 4,361.11 × 2,035.47
  4. Step 4: Simplify right side
    2,912.09x = 8,876,908.57
  5. Step 5: Solve for x
    x = 8,876,908.57/2,912.09
  6. Step 6: Final answer
    x = 3,048.29

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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.