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Finding the Fourth Proportional to 1,906.73, 2,858.17 and 1,204.46

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Solution

The fourth proportional to 1,906.73, 2,858.17 and 1,204.46 is: 1,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.73 : 2,858.17 = 1,204.46 : x
  2. Step 2: Convert to fraction form
    1,906.73/2,858.17 = 1,204.46/x
  3. Step 3: Cross multiply
    1,906.73x = 2,858.17 × 1,204.46
  4. Step 4: Simplify right side
    1,906.73x = 3,442,551.44
  5. Step 5: Solve for x
    x = 3,442,551.44/1,906.73
  6. Step 6: Final answer
    x = 1,805.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.