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Finding the Fourth Proportional to 2,057.77, 3,087.66 and 961.97

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Solution

The fourth proportional to 2,057.77, 3,087.66 and 961.97 is: 1,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.77 : 3,087.66 = 961.97 : x
  2. Step 2: Convert to fraction form
    2,057.77/3,087.66 = 961.97/x
  3. Step 3: Cross multiply
    2,057.77x = 3,087.66 × 961.97
  4. Step 4: Simplify right side
    2,057.77x = 2,970,236.29
  5. Step 5: Solve for x
    x = 2,970,236.29/2,057.77
  6. Step 6: Final answer
    x = 1,443.43

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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.