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Finding the Fourth Proportional to 3,173.22, 4,760.14 and 1,092.95

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Solution

The fourth proportional to 3,173.22, 4,760.14 and 1,092.95 is: 1,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.22 : 4,760.14 = 1,092.95 : x
  2. Step 2: Convert to fraction form
    3,173.22/4,760.14 = 1,092.95/x
  3. Step 3: Cross multiply
    3,173.22x = 4,760.14 × 1,092.95
  4. Step 4: Simplify right side
    3,173.22x = 5,202,573.94
  5. Step 5: Solve for x
    x = 5,202,573.94/3,173.22
  6. Step 6: Final answer
    x = 1,639.53

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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.