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Finding the Fourth Proportional to 3,173.70, 4,761 and 982.61

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Solution

The fourth proportional to 3,173.70, 4,761 and 982.61 is: 1,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.70 : 4,761 = 982.61 : x
  2. Step 2: Convert to fraction form
    3,173.70/4,761 = 982.61/x
  3. Step 3: Cross multiply
    3,173.70x = 4,761 × 982.61
  4. Step 4: Simplify right side
    3,173.70x = 4,678,182.41
  5. Step 5: Solve for x
    x = 4,678,182.41/3,173.70
  6. Step 6: Final answer
    x = 1,474.05

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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.