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Finding the Fourth Proportional to 1,839.82, 2,759.85 and 685.18

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Solution

The fourth proportional to 1,839.82, 2,759.85 and 685.18 is: 1,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.82 : 2,759.85 = 685.18 : x
  2. Step 2: Convert to fraction form
    1,839.82/2,759.85 = 685.18/x
  3. Step 3: Cross multiply
    1,839.82x = 2,759.85 × 685.18
  4. Step 4: Simplify right side
    1,839.82x = 1,890,994.02
  5. Step 5: Solve for x
    x = 1,890,994.02/1,839.82
  6. Step 6: Final answer
    x = 1,027.81

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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.