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Finding the Fourth Proportional to 2,201.82, 3,301.90 and 720.70

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Solution

The fourth proportional to 2,201.82, 3,301.90 and 720.70 is: 1,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.82 : 3,301.90 = 720.70 : x
  2. Step 2: Convert to fraction form
    2,201.82/3,301.90 = 720.70/x
  3. Step 3: Cross multiply
    2,201.82x = 3,301.90 × 720.70
  4. Step 4: Simplify right side
    2,201.82x = 2,379,669.27
  5. Step 5: Solve for x
    x = 2,379,669.27/2,201.82
  6. Step 6: Final answer
    x = 1,080.78

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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.