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Finding the Fourth Proportional to 3,794.80, 5,692.24 and 1,197.76

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Solution

The fourth proportional to 3,794.80, 5,692.24 and 1,197.76 is: 1,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.80 : 5,692.24 = 1,197.76 : x
  2. Step 2: Convert to fraction form
    3,794.80/5,692.24 = 1,197.76/x
  3. Step 3: Cross multiply
    3,794.80x = 5,692.24 × 1,197.76
  4. Step 4: Simplify right side
    3,794.80x = 6,817,937.38
  5. Step 5: Solve for x
    x = 6,817,937.38/3,794.80
  6. Step 6: Final answer
    x = 1,796.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.