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Finding the Fourth Proportional to 1,976.33, 2,727.54 and 1,697.49

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Solution

The fourth proportional to 1,976.33, 2,727.54 and 1,697.49 is: 2,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.33 : 2,727.54 = 1,697.49 : x
  2. Step 2: Convert to fraction form
    1,976.33/2,727.54 = 1,697.49/x
  3. Step 3: Cross multiply
    1,976.33x = 2,727.54 × 1,697.49
  4. Step 4: Simplify right side
    1,976.33x = 4,629,971.87
  5. Step 5: Solve for x
    x = 4,629,971.87/1,976.33
  6. Step 6: Final answer
    x = 2,342.71

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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.