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Finding the Fourth Proportional to 3,182.22, 4,770.90 and 1,797.12

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Solution

The fourth proportional to 3,182.22, 4,770.90 and 1,797.12 is: 2,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.22 : 4,770.90 = 1,797.12 : x
  2. Step 2: Convert to fraction form
    3,182.22/4,770.90 = 1,797.12/x
  3. Step 3: Cross multiply
    3,182.22x = 4,770.90 × 1,797.12
  4. Step 4: Simplify right side
    3,182.22x = 8,573,879.81
  5. Step 5: Solve for x
    x = 8,573,879.81/3,182.22
  6. Step 6: Final answer
    x = 2,694.31

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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.