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Finding the Fourth Proportional to 2,201.32, 3,301.96 and 662.32

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Solution

The fourth proportional to 2,201.32, 3,301.96 and 662.32 is: 993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.32 : 3,301.96 = 662.32 : x
  2. Step 2: Convert to fraction form
    2,201.32/3,301.96 = 662.32/x
  3. Step 3: Cross multiply
    2,201.32x = 3,301.96 × 662.32
  4. Step 4: Simplify right side
    2,201.32x = 2,186,954.15
  5. Step 5: Solve for x
    x = 2,186,954.15/2,201.32
  6. Step 6: Final answer
    x = 993.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.