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Finding the Fourth Proportional to 2,209.01, 3,311.69 and 911.39

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Solution

The fourth proportional to 2,209.01, 3,311.69 and 911.39 is: 1,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.01 : 3,311.69 = 911.39 : x
  2. Step 2: Convert to fraction form
    2,209.01/3,311.69 = 911.39/x
  3. Step 3: Cross multiply
    2,209.01x = 3,311.69 × 911.39
  4. Step 4: Simplify right side
    2,209.01x = 3,018,220.03
  5. Step 5: Solve for x
    x = 3,018,220.03/2,209.01
  6. Step 6: Final answer
    x = 1,366.33

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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.