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Finding the Fourth Proportional to 2,738.96, 4,109.96 and 1,645.44

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Solution

The fourth proportional to 2,738.96, 4,109.96 and 1,645.44 is: 2,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.96 : 4,109.96 = 1,645.44 : x
  2. Step 2: Convert to fraction form
    2,738.96/4,109.96 = 1,645.44/x
  3. Step 3: Cross multiply
    2,738.96x = 4,109.96 × 1,645.44
  4. Step 4: Simplify right side
    2,738.96x = 6,762,692.58
  5. Step 5: Solve for x
    x = 6,762,692.58/2,738.96
  6. Step 6: Final answer
    x = 2,469.07

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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.