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Finding the Fourth Proportional to 2,185.99, 3,278.07 and 724.85

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Solution

The fourth proportional to 2,185.99, 3,278.07 and 724.85 is: 1,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.99 : 3,278.07 = 724.85 : x
  2. Step 2: Convert to fraction form
    2,185.99/3,278.07 = 724.85/x
  3. Step 3: Cross multiply
    2,185.99x = 3,278.07 × 724.85
  4. Step 4: Simplify right side
    2,185.99x = 2,376,104.94
  5. Step 5: Solve for x
    x = 2,376,104.94/2,185.99
  6. Step 6: Final answer
    x = 1,086.97

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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.