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Finding the Fourth Proportional to 2,836.44, 4,256.03 and 2,138.19

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Solution

The fourth proportional to 2,836.44, 4,256.03 and 2,138.19 is: 3,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.44 : 4,256.03 = 2,138.19 : x
  2. Step 2: Convert to fraction form
    2,836.44/4,256.03 = 2,138.19/x
  3. Step 3: Cross multiply
    2,836.44x = 4,256.03 × 2,138.19
  4. Step 4: Simplify right side
    2,836.44x = 9,100,206.05
  5. Step 5: Solve for x
    x = 9,100,206.05/2,836.44
  6. Step 6: Final answer
    x = 3,208.32

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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.