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Finding the Fourth Proportional to 3,180.92, 4,771.10 and 989.44

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Solution

The fourth proportional to 3,180.92, 4,771.10 and 989.44 is: 1,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.92 : 4,771.10 = 989.44 : x
  2. Step 2: Convert to fraction form
    3,180.92/4,771.10 = 989.44/x
  3. Step 3: Cross multiply
    3,180.92x = 4,771.10 × 989.44
  4. Step 4: Simplify right side
    3,180.92x = 4,720,707.73
  5. Step 5: Solve for x
    x = 4,720,707.73/3,180.92
  6. Step 6: Final answer
    x = 1,484.07

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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.