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Finding the Fourth Proportional to 1,657.17, 2,481.97 and 792.09

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Solution

The fourth proportional to 1,657.17, 2,481.97 and 792.09 is: 1,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.17 : 2,481.97 = 792.09 : x
  2. Step 2: Convert to fraction form
    1,657.17/2,481.97 = 792.09/x
  3. Step 3: Cross multiply
    1,657.17x = 2,481.97 × 792.09
  4. Step 4: Simplify right side
    1,657.17x = 1,965,943.62
  5. Step 5: Solve for x
    x = 1,965,943.62/1,657.17
  6. Step 6: Final answer
    x = 1,186.33

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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.