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Finding the Fourth Proportional to 2,213.72, 3,321.06 and 732.88

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Solution

The fourth proportional to 2,213.72, 3,321.06 and 732.88 is: 1,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.72 : 3,321.06 = 732.88 : x
  2. Step 2: Convert to fraction form
    2,213.72/3,321.06 = 732.88/x
  3. Step 3: Cross multiply
    2,213.72x = 3,321.06 × 732.88
  4. Step 4: Simplify right side
    2,213.72x = 2,433,938.45
  5. Step 5: Solve for x
    x = 2,433,938.45/2,213.72
  6. Step 6: Final answer
    x = 1,099.48

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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.