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Finding the Fourth Proportional to 1,902.32, 2,851.86 and 806.66

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Solution

The fourth proportional to 1,902.32, 2,851.86 and 806.66 is: 1,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.32 : 2,851.86 = 806.66 : x
  2. Step 2: Convert to fraction form
    1,902.32/2,851.86 = 806.66/x
  3. Step 3: Cross multiply
    1,902.32x = 2,851.86 × 806.66
  4. Step 4: Simplify right side
    1,902.32x = 2,300,481.39
  5. Step 5: Solve for x
    x = 2,300,481.39/1,902.32
  6. Step 6: Final answer
    x = 1,209.30

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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.