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Finding the Fourth Proportional to 2,680.64, 4,021.14 and 732.85

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Solution

The fourth proportional to 2,680.64, 4,021.14 and 732.85 is: 1,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.64 : 4,021.14 = 732.85 : x
  2. Step 2: Convert to fraction form
    2,680.64/4,021.14 = 732.85/x
  3. Step 3: Cross multiply
    2,680.64x = 4,021.14 × 732.85
  4. Step 4: Simplify right side
    2,680.64x = 2,946,882.40
  5. Step 5: Solve for x
    x = 2,946,882.40/2,680.64
  6. Step 6: Final answer
    x = 1,099.32

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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.