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Finding the Fourth Proportional to 2,982.44, 4,114.94 and 1,863.88

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Solution

The fourth proportional to 2,982.44, 4,114.94 and 1,863.88 is: 2,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.44 : 4,114.94 = 1,863.88 : x
  2. Step 2: Convert to fraction form
    2,982.44/4,114.94 = 1,863.88/x
  3. Step 3: Cross multiply
    2,982.44x = 4,114.94 × 1,863.88
  4. Step 4: Simplify right side
    2,982.44x = 7,669,754.37
  5. Step 5: Solve for x
    x = 7,669,754.37/2,982.44
  6. Step 6: Final answer
    x = 2,571.64

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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.