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Finding the Fourth Proportional to 3,173.31, 4,760.42 and 982.21

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Solution

The fourth proportional to 3,173.31, 4,760.42 and 982.21 is: 1,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.31 : 4,760.42 = 982.21 : x
  2. Step 2: Convert to fraction form
    3,173.31/4,760.42 = 982.21/x
  3. Step 3: Cross multiply
    3,173.31x = 4,760.42 × 982.21
  4. Step 4: Simplify right side
    3,173.31x = 4,675,732.13
  5. Step 5: Solve for x
    x = 4,675,732.13/3,173.31
  6. Step 6: Final answer
    x = 1,473.46

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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.