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Finding the Fourth Proportional to 2,728.44, 3,755.82 and 2,378.52

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Solution

The fourth proportional to 2,728.44, 3,755.82 and 2,378.52 is: 3,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.44 : 3,755.82 = 2,378.52 : x
  2. Step 2: Convert to fraction form
    2,728.44/3,755.82 = 2,378.52/x
  3. Step 3: Cross multiply
    2,728.44x = 3,755.82 × 2,378.52
  4. Step 4: Simplify right side
    2,728.44x = 8,933,292.99
  5. Step 5: Solve for x
    x = 8,933,292.99/2,728.44
  6. Step 6: Final answer
    x = 3,274.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.