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Finding the Fourth Proportional to 2,180.92, 3,272.25 and 794.35

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Solution

The fourth proportional to 2,180.92, 3,272.25 and 794.35 is: 1,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.92 : 3,272.25 = 794.35 : x
  2. Step 2: Convert to fraction form
    2,180.92/3,272.25 = 794.35/x
  3. Step 3: Cross multiply
    2,180.92x = 3,272.25 × 794.35
  4. Step 4: Simplify right side
    2,180.92x = 2,599,314.39
  5. Step 5: Solve for x
    x = 2,599,314.39/2,180.92
  6. Step 6: Final answer
    x = 1,191.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.