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Finding the Fourth Proportional to 3,399.77, 4,692.33 and 1,983.79

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Solution

The fourth proportional to 3,399.77, 4,692.33 and 1,983.79 is: 2,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.77 : 4,692.33 = 1,983.79 : x
  2. Step 2: Convert to fraction form
    3,399.77/4,692.33 = 1,983.79/x
  3. Step 3: Cross multiply
    3,399.77x = 4,692.33 × 1,983.79
  4. Step 4: Simplify right side
    3,399.77x = 9,308,603.20
  5. Step 5: Solve for x
    x = 9,308,603.20/3,399.77
  6. Step 6: Final answer
    x = 2,738.01

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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.