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Finding the Fourth Proportional to 3,181.14, 4,772.52 and 989.89

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Solution

The fourth proportional to 3,181.14, 4,772.52 and 989.89 is: 1,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.14 : 4,772.52 = 989.89 : x
  2. Step 2: Convert to fraction form
    3,181.14/4,772.52 = 989.89/x
  3. Step 3: Cross multiply
    3,181.14x = 4,772.52 × 989.89
  4. Step 4: Simplify right side
    3,181.14x = 4,724,257.89
  5. Step 5: Solve for x
    x = 4,724,257.89/3,181.14
  6. Step 6: Final answer
    x = 1,485.08

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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.