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Finding the Fourth Proportional to 2,257.32, 3,385.97 and 796.49

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Solution

The fourth proportional to 2,257.32, 3,385.97 and 796.49 is: 1,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.32 : 3,385.97 = 796.49 : x
  2. Step 2: Convert to fraction form
    2,257.32/3,385.97 = 796.49/x
  3. Step 3: Cross multiply
    2,257.32x = 3,385.97 × 796.49
  4. Step 4: Simplify right side
    2,257.32x = 2,696,870.33
  5. Step 5: Solve for x
    x = 2,696,870.33/2,257.32
  6. Step 6: Final answer
    x = 1,194.72

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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.