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Finding the Fourth Proportional to 2,634.09, 3,952.02 and 968.73

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Solution

The fourth proportional to 2,634.09, 3,952.02 and 968.73 is: 1,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.09 : 3,952.02 = 968.73 : x
  2. Step 2: Convert to fraction form
    2,634.09/3,952.02 = 968.73/x
  3. Step 3: Cross multiply
    2,634.09x = 3,952.02 × 968.73
  4. Step 4: Simplify right side
    2,634.09x = 3,828,440.33
  5. Step 5: Solve for x
    x = 3,828,440.33/2,634.09
  6. Step 6: Final answer
    x = 1,453.42

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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.