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Finding the Fourth Proportional to 2,201.69, 3,300.80 and 1,091.49

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Solution

The fourth proportional to 2,201.69, 3,300.80 and 1,091.49 is: 1,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.69 : 3,300.80 = 1,091.49 : x
  2. Step 2: Convert to fraction form
    2,201.69/3,300.80 = 1,091.49/x
  3. Step 3: Cross multiply
    2,201.69x = 3,300.80 × 1,091.49
  4. Step 4: Simplify right side
    2,201.69x = 3,602,772.36
  5. Step 5: Solve for x
    x = 3,602,772.36/2,201.69
  6. Step 6: Final answer
    x = 1,636.37

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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.