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Finding the Fourth Proportional to 2,680.91, 4,021.16 and 733.27

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Solution

The fourth proportional to 2,680.91, 4,021.16 and 733.27 is: 1,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.91 : 4,021.16 = 733.27 : x
  2. Step 2: Convert to fraction form
    2,680.91/4,021.16 = 733.27/x
  3. Step 3: Cross multiply
    2,680.91x = 4,021.16 × 733.27
  4. Step 4: Simplify right side
    2,680.91x = 2,948,575.89
  5. Step 5: Solve for x
    x = 2,948,575.89/2,680.91
  6. Step 6: Final answer
    x = 1,099.84

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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.