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Finding the Fourth Proportional to 2,729.80, 4,093.76 and 880.44

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Solution

The fourth proportional to 2,729.80, 4,093.76 and 880.44 is: 1,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.80 : 4,093.76 = 880.44 : x
  2. Step 2: Convert to fraction form
    2,729.80/4,093.76 = 880.44/x
  3. Step 3: Cross multiply
    2,729.80x = 4,093.76 × 880.44
  4. Step 4: Simplify right side
    2,729.80x = 3,604,310.05
  5. Step 5: Solve for x
    x = 3,604,310.05/2,729.80
  6. Step 6: Final answer
    x = 1,320.36

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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.