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Finding the Fourth Proportional to 3,181.92, 4,772.60 and 990.44

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Solution

The fourth proportional to 3,181.92, 4,772.60 and 990.44 is: 1,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.92 : 4,772.60 = 990.44 : x
  2. Step 2: Convert to fraction form
    3,181.92/4,772.60 = 990.44/x
  3. Step 3: Cross multiply
    3,181.92x = 4,772.60 × 990.44
  4. Step 4: Simplify right side
    3,181.92x = 4,726,973.94
  5. Step 5: Solve for x
    x = 4,726,973.94/3,181.92
  6. Step 6: Final answer
    x = 1,485.57

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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.