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Finding the Fourth Proportional to 2,993.98, 4,132.63 and 2,049.42

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Solution

The fourth proportional to 2,993.98, 4,132.63 and 2,049.42 is: 2,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.98 : 4,132.63 = 2,049.42 : x
  2. Step 2: Convert to fraction form
    2,993.98/4,132.63 = 2,049.42/x
  3. Step 3: Cross multiply
    2,993.98x = 4,132.63 × 2,049.42
  4. Step 4: Simplify right side
    2,993.98x = 8,469,494.57
  5. Step 5: Solve for x
    x = 8,469,494.57/2,993.98
  6. Step 6: Final answer
    x = 2,828.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.