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Finding the Fourth Proportional to 2,662.19, 3,993.28 and 1,200.95

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Solution

The fourth proportional to 2,662.19, 3,993.28 and 1,200.95 is: 1,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.19 : 3,993.28 = 1,200.95 : x
  2. Step 2: Convert to fraction form
    2,662.19/3,993.28 = 1,200.95/x
  3. Step 3: Cross multiply
    2,662.19x = 3,993.28 × 1,200.95
  4. Step 4: Simplify right side
    2,662.19x = 4,795,706.65
  5. Step 5: Solve for x
    x = 4,795,706.65/2,662.19
  6. Step 6: Final answer
    x = 1,801.42

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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.