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Finding the Fourth Proportional to 2,768.40, 4,149.45 and 1,728.87

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Solution

The fourth proportional to 2,768.40, 4,149.45 and 1,728.87 is: 2,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.40 : 4,149.45 = 1,728.87 : x
  2. Step 2: Convert to fraction form
    2,768.40/4,149.45 = 1,728.87/x
  3. Step 3: Cross multiply
    2,768.40x = 4,149.45 × 1,728.87
  4. Step 4: Simplify right side
    2,768.40x = 7,173,859.62
  5. Step 5: Solve for x
    x = 7,173,859.62/2,768.40
  6. Step 6: Final answer
    x = 2,591.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.