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Finding the Fourth Proportional to 1,767.62, 2,441.13 and 1,324.82

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Solution

The fourth proportional to 1,767.62, 2,441.13 and 1,324.82 is: 1,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.62 : 2,441.13 = 1,324.82 : x
  2. Step 2: Convert to fraction form
    1,767.62/2,441.13 = 1,324.82/x
  3. Step 3: Cross multiply
    1,767.62x = 2,441.13 × 1,324.82
  4. Step 4: Simplify right side
    1,767.62x = 3,234,057.85
  5. Step 5: Solve for x
    x = 3,234,057.85/1,767.62
  6. Step 6: Final answer
    x = 1,829.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.