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Finding the Fourth Proportional to 2,201.05, 3,301.73 and 814.36

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Solution

The fourth proportional to 2,201.05, 3,301.73 and 814.36 is: 1,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.05 : 3,301.73 = 814.36 : x
  2. Step 2: Convert to fraction form
    2,201.05/3,301.73 = 814.36/x
  3. Step 3: Cross multiply
    2,201.05x = 3,301.73 × 814.36
  4. Step 4: Simplify right side
    2,201.05x = 2,688,796.84
  5. Step 5: Solve for x
    x = 2,688,796.84/2,201.05
  6. Step 6: Final answer
    x = 1,221.60

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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.