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Finding the Fourth Proportional to 3,025.82, 4,538.03 and 834.73

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Solution

The fourth proportional to 3,025.82, 4,538.03 and 834.73 is: 1,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.82 : 4,538.03 = 834.73 : x
  2. Step 2: Convert to fraction form
    3,025.82/4,538.03 = 834.73/x
  3. Step 3: Cross multiply
    3,025.82x = 4,538.03 × 834.73
  4. Step 4: Simplify right side
    3,025.82x = 3,788,014.26
  5. Step 5: Solve for x
    x = 3,788,014.26/3,025.82
  6. Step 6: Final answer
    x = 1,251.90

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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.