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Finding the Fourth Proportional to 2,072.23, 3,108.73 and 839.73

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Solution

The fourth proportional to 2,072.23, 3,108.73 and 839.73 is: 1,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.23 : 3,108.73 = 839.73 : x
  2. Step 2: Convert to fraction form
    2,072.23/3,108.73 = 839.73/x
  3. Step 3: Cross multiply
    2,072.23x = 3,108.73 × 839.73
  4. Step 4: Simplify right side
    2,072.23x = 2,610,493.84
  5. Step 5: Solve for x
    x = 2,610,493.84/2,072.23
  6. Step 6: Final answer
    x = 1,259.75

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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.