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Finding the Fourth Proportional to 2,680.44, 4,020.94 and 732.78

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Solution

The fourth proportional to 2,680.44, 4,020.94 and 732.78 is: 1,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.44 : 4,020.94 = 732.78 : x
  2. Step 2: Convert to fraction form
    2,680.44/4,020.94 = 732.78/x
  3. Step 3: Cross multiply
    2,680.44x = 4,020.94 × 732.78
  4. Step 4: Simplify right side
    2,680.44x = 2,946,464.41
  5. Step 5: Solve for x
    x = 2,946,464.41/2,680.44
  6. Step 6: Final answer
    x = 1,099.25

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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.