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Finding the Fourth Proportional to 2,728.84, 4,091.82 and 1,189

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Solution

The fourth proportional to 2,728.84, 4,091.82 and 1,189 is: 1,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.84 : 4,091.82 = 1,189 : x
  2. Step 2: Convert to fraction form
    2,728.84/4,091.82 = 1,189/x
  3. Step 3: Cross multiply
    2,728.84x = 4,091.82 × 1,189
  4. Step 4: Simplify right side
    2,728.84x = 4,865,173.98
  5. Step 5: Solve for x
    x = 4,865,173.98/2,728.84
  6. Step 6: Final answer
    x = 1,782.87

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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.