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Finding the Fourth Proportional to 2,728.14, 3,764.85 and 1,549.22

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Solution

The fourth proportional to 2,728.14, 3,764.85 and 1,549.22 is: 2,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.14 : 3,764.85 = 1,549.22 : x
  2. Step 2: Convert to fraction form
    2,728.14/3,764.85 = 1,549.22/x
  3. Step 3: Cross multiply
    2,728.14x = 3,764.85 × 1,549.22
  4. Step 4: Simplify right side
    2,728.14x = 5,832,562.09
  5. Step 5: Solve for x
    x = 5,832,562.09/2,728.14
  6. Step 6: Final answer
    x = 2,137.93

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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.