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Finding the Fourth Proportional to 3,181.23, 4,772.48 and 989.87

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Solution

The fourth proportional to 3,181.23, 4,772.48 and 989.87 is: 1,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.23 : 4,772.48 = 989.87 : x
  2. Step 2: Convert to fraction form
    3,181.23/4,772.48 = 989.87/x
  3. Step 3: Cross multiply
    3,181.23x = 4,772.48 × 989.87
  4. Step 4: Simplify right side
    3,181.23x = 4,724,105.97
  5. Step 5: Solve for x
    x = 4,724,105.97/3,181.23
  6. Step 6: Final answer
    x = 1,484.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.