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Finding the Fourth Proportional to 2,057.24, 3,086.54 and 961

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Solution

The fourth proportional to 2,057.24, 3,086.54 and 961 is: 1,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.24 : 3,086.54 = 961 : x
  2. Step 2: Convert to fraction form
    2,057.24/3,086.54 = 961/x
  3. Step 3: Cross multiply
    2,057.24x = 3,086.54 × 961
  4. Step 4: Simplify right side
    2,057.24x = 2,966,164.94
  5. Step 5: Solve for x
    x = 2,966,164.94/2,057.24
  6. Step 6: Final answer
    x = 1,441.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.