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Finding the Fourth Proportional to 2,091.84, 2,849.86 and 2,049.15

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Solution

The fourth proportional to 2,091.84, 2,849.86 and 2,049.15 is: 2,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.84 : 2,849.86 = 2,049.15 : x
  2. Step 2: Convert to fraction form
    2,091.84/2,849.86 = 2,049.15/x
  3. Step 3: Cross multiply
    2,091.84x = 2,849.86 × 2,049.15
  4. Step 4: Simplify right side
    2,091.84x = 5,839,790.62
  5. Step 5: Solve for x
    x = 5,839,790.62/2,091.84
  6. Step 6: Final answer
    x = 2,791.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.