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Finding the Fourth Proportional to 1,906.14, 2,833.50 and 1,850.09

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Solution

The fourth proportional to 1,906.14, 2,833.50 and 1,850.09 is: 2,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.14 : 2,833.50 = 1,850.09 : x
  2. Step 2: Convert to fraction form
    1,906.14/2,833.50 = 1,850.09/x
  3. Step 3: Cross multiply
    1,906.14x = 2,833.50 × 1,850.09
  4. Step 4: Simplify right side
    1,906.14x = 5,242,215.85
  5. Step 5: Solve for x
    x = 5,242,215.85/1,906.14
  6. Step 6: Final answer
    x = 2,750.17

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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.