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Finding the Fourth Proportional to 2,350.41, 3,523.99 and 963.33

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Solution

The fourth proportional to 2,350.41, 3,523.99 and 963.33 is: 1,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.41 : 3,523.99 = 963.33 : x
  2. Step 2: Convert to fraction form
    2,350.41/3,523.99 = 963.33/x
  3. Step 3: Cross multiply
    2,350.41x = 3,523.99 × 963.33
  4. Step 4: Simplify right side
    2,350.41x = 3,394,765.29
  5. Step 5: Solve for x
    x = 3,394,765.29/2,350.41
  6. Step 6: Final answer
    x = 1,444.33

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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.