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Finding the Fourth Proportional to 1,902.38, 2,852.87 and 806.83

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Solution

The fourth proportional to 1,902.38, 2,852.87 and 806.83 is: 1,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.38 : 2,852.87 = 806.83 : x
  2. Step 2: Convert to fraction form
    1,902.38/2,852.87 = 806.83/x
  3. Step 3: Cross multiply
    1,902.38x = 2,852.87 × 806.83
  4. Step 4: Simplify right side
    1,902.38x = 2,301,769.94
  5. Step 5: Solve for x
    x = 2,301,769.94/1,902.38
  6. Step 6: Final answer
    x = 1,209.95

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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.