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Finding the Fourth Proportional to 2,664.18, 3,992.85 and 1,202.22

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Solution

The fourth proportional to 2,664.18, 3,992.85 and 1,202.22 is: 1,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.18 : 3,992.85 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    2,664.18/3,992.85 = 1,202.22/x
  3. Step 3: Cross multiply
    2,664.18x = 3,992.85 × 1,202.22
  4. Step 4: Simplify right side
    2,664.18x = 4,800,284.13
  5. Step 5: Solve for x
    x = 4,800,284.13/2,664.18
  6. Step 6: Final answer
    x = 1,801.79

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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.