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Finding the Fourth Proportional to 3,019, 4,166.16 and 1,692.82

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Solution

The fourth proportional to 3,019, 4,166.16 and 1,692.82 is: 2,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019 : 4,166.16 = 1,692.82 : x
  2. Step 2: Convert to fraction form
    3,019/4,166.16 = 1,692.82/x
  3. Step 3: Cross multiply
    3,019x = 4,166.16 × 1,692.82
  4. Step 4: Simplify right side
    3,019x = 7,052,558.97
  5. Step 5: Solve for x
    x = 7,052,558.97/3,019
  6. Step 6: Final answer
    x = 2,336.06

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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.