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Finding the Fourth Proportional to 1,902.78, 2,852.94 and 806.85

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Solution

The fourth proportional to 1,902.78, 2,852.94 and 806.85 is: 1,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.78 : 2,852.94 = 806.85 : x
  2. Step 2: Convert to fraction form
    1,902.78/2,852.94 = 806.85/x
  3. Step 3: Cross multiply
    1,902.78x = 2,852.94 × 806.85
  4. Step 4: Simplify right side
    1,902.78x = 2,301,894.64
  5. Step 5: Solve for x
    x = 2,301,894.64/1,902.78
  6. Step 6: Final answer
    x = 1,209.75

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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.