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Finding the Fourth Proportional to 3,173.96, 4,761.38 and 982.86

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Solution

The fourth proportional to 3,173.96, 4,761.38 and 982.86 is: 1,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.96 : 4,761.38 = 982.86 : x
  2. Step 2: Convert to fraction form
    3,173.96/4,761.38 = 982.86/x
  3. Step 3: Cross multiply
    3,173.96x = 4,761.38 × 982.86
  4. Step 4: Simplify right side
    3,173.96x = 4,679,769.95
  5. Step 5: Solve for x
    x = 4,679,769.95/3,173.96
  6. Step 6: Final answer
    x = 1,474.43

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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.