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Finding the Fourth Proportional to 2,393.96, 3,296.94 and 1,976

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Solution

The fourth proportional to 2,393.96, 3,296.94 and 1,976 is: 2,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.96 : 3,296.94 = 1,976 : x
  2. Step 2: Convert to fraction form
    2,393.96/3,296.94 = 1,976/x
  3. Step 3: Cross multiply
    2,393.96x = 3,296.94 × 1,976
  4. Step 4: Simplify right side
    2,393.96x = 6,514,753.44
  5. Step 5: Solve for x
    x = 6,514,753.44/2,393.96
  6. Step 6: Final answer
    x = 2,721.33

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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.