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Finding the Fourth Proportional to 2,252.97, 3,380.66 and 937.63

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Solution

The fourth proportional to 2,252.97, 3,380.66 and 937.63 is: 1,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.97 : 3,380.66 = 937.63 : x
  2. Step 2: Convert to fraction form
    2,252.97/3,380.66 = 937.63/x
  3. Step 3: Cross multiply
    2,252.97x = 3,380.66 × 937.63
  4. Step 4: Simplify right side
    2,252.97x = 3,169,791.33
  5. Step 5: Solve for x
    x = 3,169,791.33/2,252.97
  6. Step 6: Final answer
    x = 1,406.94

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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.