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Finding the Fourth Proportional to 2,351.82, 3,527.73 and 965.91

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Solution

The fourth proportional to 2,351.82, 3,527.73 and 965.91 is: 1,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.82 : 3,527.73 = 965.91 : x
  2. Step 2: Convert to fraction form
    2,351.82/3,527.73 = 965.91/x
  3. Step 3: Cross multiply
    2,351.82x = 3,527.73 × 965.91
  4. Step 4: Simplify right side
    2,351.82x = 3,407,469.68
  5. Step 5: Solve for x
    x = 3,407,469.68/2,351.82
  6. Step 6: Final answer
    x = 1,448.87

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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.