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Finding the Fourth Proportional to 1,912.78, 2,846.30 and 1,906.30

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Solution

The fourth proportional to 1,912.78, 2,846.30 and 1,906.30 is: 2,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.78 : 2,846.30 = 1,906.30 : x
  2. Step 2: Convert to fraction form
    1,912.78/2,846.30 = 1,906.30/x
  3. Step 3: Cross multiply
    1,912.78x = 2,846.30 × 1,906.30
  4. Step 4: Simplify right side
    1,912.78x = 5,425,901.69
  5. Step 5: Solve for x
    x = 5,425,901.69/1,912.78
  6. Step 6: Final answer
    x = 2,836.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.