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Finding the Fourth Proportional to 2,887.11, 3,982.81 and 1,891.95

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Solution

The fourth proportional to 2,887.11, 3,982.81 and 1,891.95 is: 2,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.11 : 3,982.81 = 1,891.95 : x
  2. Step 2: Convert to fraction form
    2,887.11/3,982.81 = 1,891.95/x
  3. Step 3: Cross multiply
    2,887.11x = 3,982.81 × 1,891.95
  4. Step 4: Simplify right side
    2,887.11x = 7,535,277.38
  5. Step 5: Solve for x
    x = 7,535,277.38/2,887.11
  6. Step 6: Final answer
    x = 2,609.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.