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Finding the Fourth Proportional to 2,329.22, 3,493.84 and 685.82

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Solution

The fourth proportional to 2,329.22, 3,493.84 and 685.82 is: 1,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.22 : 3,493.84 = 685.82 : x
  2. Step 2: Convert to fraction form
    2,329.22/3,493.84 = 685.82/x
  3. Step 3: Cross multiply
    2,329.22x = 3,493.84 × 685.82
  4. Step 4: Simplify right side
    2,329.22x = 2,396,145.35
  5. Step 5: Solve for x
    x = 2,396,145.35/2,329.22
  6. Step 6: Final answer
    x = 1,028.73

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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.