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Finding the Fourth Proportional to 1,902.29, 2,850.46 and 1,023.44

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Solution

The fourth proportional to 1,902.29, 2,850.46 and 1,023.44 is: 1,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.29 : 2,850.46 = 1,023.44 : x
  2. Step 2: Convert to fraction form
    1,902.29/2,850.46 = 1,023.44/x
  3. Step 3: Cross multiply
    1,902.29x = 2,850.46 × 1,023.44
  4. Step 4: Simplify right side
    1,902.29x = 2,917,257.97
  5. Step 5: Solve for x
    x = 2,917,257.97/1,902.29
  6. Step 6: Final answer
    x = 1,533.55

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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.