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Finding the Fourth Proportional to 2,087.67, 2,886.39 and 1,995.87

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Solution

The fourth proportional to 2,087.67, 2,886.39 and 1,995.87 is: 2,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.67 : 2,886.39 = 1,995.87 : x
  2. Step 2: Convert to fraction form
    2,087.67/2,886.39 = 1,995.87/x
  3. Step 3: Cross multiply
    2,087.67x = 2,886.39 × 1,995.87
  4. Step 4: Simplify right side
    2,087.67x = 5,760,859.21
  5. Step 5: Solve for x
    x = 5,760,859.21/2,087.67
  6. Step 6: Final answer
    x = 2,759.47

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