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Finding the Fourth Proportional to 2,692.05, 4,037.78 and 744

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Solution

The fourth proportional to 2,692.05, 4,037.78 and 744 is: 1,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.05 : 4,037.78 = 744 : x
  2. Step 2: Convert to fraction form
    2,692.05/4,037.78 = 744/x
  3. Step 3: Cross multiply
    2,692.05x = 4,037.78 × 744
  4. Step 4: Simplify right side
    2,692.05x = 3,004,104.60
  5. Step 5: Solve for x
    x = 3,004,104.60/2,692.05
  6. Step 6: Final answer
    x = 1,115.92

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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.