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Finding the Fourth Proportional to 2,796.32, 3,859.28 and 1,692.32

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Solution

The fourth proportional to 2,796.32, 3,859.28 and 1,692.32 is: 2,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.32 : 3,859.28 = 1,692.32 : x
  2. Step 2: Convert to fraction form
    2,796.32/3,859.28 = 1,692.32/x
  3. Step 3: Cross multiply
    2,796.32x = 3,859.28 × 1,692.32
  4. Step 4: Simplify right side
    2,796.32x = 6,531,136.73
  5. Step 5: Solve for x
    x = 6,531,136.73/2,796.32
  6. Step 6: Final answer
    x = 2,335.62

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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.