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Finding the Fourth Proportional to 2,744.56, 4,096.94 and 2,552.30

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Solution

The fourth proportional to 2,744.56, 4,096.94 and 2,552.30 is: 3,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.56 : 4,096.94 = 2,552.30 : x
  2. Step 2: Convert to fraction form
    2,744.56/4,096.94 = 2,552.30/x
  3. Step 3: Cross multiply
    2,744.56x = 4,096.94 × 2,552.30
  4. Step 4: Simplify right side
    2,744.56x = 10,456,619.96
  5. Step 5: Solve for x
    x = 10,456,619.96/2,744.56
  6. Step 6: Final answer
    x = 3,809.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.