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Finding the Fourth Proportional to 2,601.97, 3,902.84 and 958.41

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Solution

The fourth proportional to 2,601.97, 3,902.84 and 958.41 is: 1,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.97 : 3,902.84 = 958.41 : x
  2. Step 2: Convert to fraction form
    2,601.97/3,902.84 = 958.41/x
  3. Step 3: Cross multiply
    2,601.97x = 3,902.84 × 958.41
  4. Step 4: Simplify right side
    2,601.97x = 3,740,496.58
  5. Step 5: Solve for x
    x = 3,740,496.58/2,601.97
  6. Step 6: Final answer
    x = 1,437.56

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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.