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Finding the Fourth Proportional to 2,201.14, 3,301.68 and 662.14

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Solution

The fourth proportional to 2,201.14, 3,301.68 and 662.14 is: 993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.14 : 3,301.68 = 662.14 : x
  2. Step 2: Convert to fraction form
    2,201.14/3,301.68 = 662.14/x
  3. Step 3: Cross multiply
    2,201.14x = 3,301.68 × 662.14
  4. Step 4: Simplify right side
    2,201.14x = 2,186,174.40
  5. Step 5: Solve for x
    x = 2,186,174.40/2,201.14
  6. Step 6: Final answer
    x = 993.20

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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.