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Finding the Fourth Proportional to 2,055.89, 3,083.31 and 806.73

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Solution

The fourth proportional to 2,055.89, 3,083.31 and 806.73 is: 1,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.89 : 3,083.31 = 806.73 : x
  2. Step 2: Convert to fraction form
    2,055.89/3,083.31 = 806.73/x
  3. Step 3: Cross multiply
    2,055.89x = 3,083.31 × 806.73
  4. Step 4: Simplify right side
    2,055.89x = 2,487,400.69
  5. Step 5: Solve for x
    x = 2,487,400.69/2,055.89
  6. Step 6: Final answer
    x = 1,209.89

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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.