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Finding the Fourth Proportional to 2,662.22, 3,993.33 and 930.44

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Solution

The fourth proportional to 2,662.22, 3,993.33 and 930.44 is: 1,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.22 : 3,993.33 = 930.44 : x
  2. Step 2: Convert to fraction form
    2,662.22/3,993.33 = 930.44/x
  3. Step 3: Cross multiply
    2,662.22x = 3,993.33 × 930.44
  4. Step 4: Simplify right side
    2,662.22x = 3,715,553.97
  5. Step 5: Solve for x
    x = 3,715,553.97/2,662.22
  6. Step 6: Final answer
    x = 1,395.66

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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.