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Finding the Fourth Proportional to 2,668.82, 4,003.22 and 937.44

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Solution

The fourth proportional to 2,668.82, 4,003.22 and 937.44 is: 1,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.82 : 4,003.22 = 937.44 : x
  2. Step 2: Convert to fraction form
    2,668.82/4,003.22 = 937.44/x
  3. Step 3: Cross multiply
    2,668.82x = 4,003.22 × 937.44
  4. Step 4: Simplify right side
    2,668.82x = 3,752,780.90
  5. Step 5: Solve for x
    x = 3,752,780.90/2,668.82
  6. Step 6: Final answer
    x = 1,406.16

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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.