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Finding the Fourth Proportional to 1,902.32, 2,850.72 and 806.08

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Solution

The fourth proportional to 1,902.32, 2,850.72 and 806.08 is: 1,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.32 : 2,850.72 = 806.08 : x
  2. Step 2: Convert to fraction form
    1,902.32/2,850.72 = 806.08/x
  3. Step 3: Cross multiply
    1,902.32x = 2,850.72 × 806.08
  4. Step 4: Simplify right side
    1,902.32x = 2,297,908.38
  5. Step 5: Solve for x
    x = 2,297,908.38/1,902.32
  6. Step 6: Final answer
    x = 1,207.95

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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.