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Finding the Fourth Proportional to 2,728.26, 4,093.07 and 780.48

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Solution

The fourth proportional to 2,728.26, 4,093.07 and 780.48 is: 1,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.26 : 4,093.07 = 780.48 : x
  2. Step 2: Convert to fraction form
    2,728.26/4,093.07 = 780.48/x
  3. Step 3: Cross multiply
    2,728.26x = 4,093.07 × 780.48
  4. Step 4: Simplify right side
    2,728.26x = 3,194,555.37
  5. Step 5: Solve for x
    x = 3,194,555.37/2,728.26
  6. Step 6: Final answer
    x = 1,170.91

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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.