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Finding the Fourth Proportional to 2,669.30, 3,998.14 and 2,201.84

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Solution

The fourth proportional to 2,669.30, 3,998.14 and 2,201.84 is: 3,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.30 : 3,998.14 = 2,201.84 : x
  2. Step 2: Convert to fraction form
    2,669.30/3,998.14 = 2,201.84/x
  3. Step 3: Cross multiply
    2,669.30x = 3,998.14 × 2,201.84
  4. Step 4: Simplify right side
    2,669.30x = 8,803,264.58
  5. Step 5: Solve for x
    x = 8,803,264.58/2,669.30
  6. Step 6: Final answer
    x = 3,297.97

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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.