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Finding the Fourth Proportional to 3,399.96, 4,692.60 and 1,983.81

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Solution

The fourth proportional to 3,399.96, 4,692.60 and 1,983.81 is: 2,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.96 : 4,692.60 = 1,983.81 : x
  2. Step 2: Convert to fraction form
    3,399.96/4,692.60 = 1,983.81/x
  3. Step 3: Cross multiply
    3,399.96x = 4,692.60 × 1,983.81
  4. Step 4: Simplify right side
    3,399.96x = 9,309,226.81
  5. Step 5: Solve for x
    x = 9,309,226.81/3,399.96
  6. Step 6: Final answer
    x = 2,738.04

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Why These Related Problems?

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