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Finding the Fourth Proportional to 2,728.35, 4,093.46 and 879.53

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Solution

The fourth proportional to 2,728.35, 4,093.46 and 879.53 is: 1,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.35 : 4,093.46 = 879.53 : x
  2. Step 2: Convert to fraction form
    2,728.35/4,093.46 = 879.53/x
  3. Step 3: Cross multiply
    2,728.35x = 4,093.46 × 879.53
  4. Step 4: Simplify right side
    2,728.35x = 3,600,296.01
  5. Step 5: Solve for x
    x = 3,600,296.01/2,728.35
  6. Step 6: Final answer
    x = 1,319.59

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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.