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Finding the Fourth Proportional to 3,173.85, 4,760.91 and 982.62

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Solution

The fourth proportional to 3,173.85, 4,760.91 and 982.62 is: 1,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.85 : 4,760.91 = 982.62 : x
  2. Step 2: Convert to fraction form
    3,173.85/4,760.91 = 982.62/x
  3. Step 3: Cross multiply
    3,173.85x = 4,760.91 × 982.62
  4. Step 4: Simplify right side
    3,173.85x = 4,678,165.38
  5. Step 5: Solve for x
    x = 4,678,165.38/3,173.85
  6. Step 6: Final answer
    x = 1,473.97

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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.