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Finding the Fourth Proportional to 1,489.50, 2,231.64 and 940.41

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Solution

The fourth proportional to 1,489.50, 2,231.64 and 940.41 is: 1,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.50 : 2,231.64 = 940.41 : x
  2. Step 2: Convert to fraction form
    1,489.50/2,231.64 = 940.41/x
  3. Step 3: Cross multiply
    1,489.50x = 2,231.64 × 940.41
  4. Step 4: Simplify right side
    1,489.50x = 2,098,656.57
  5. Step 5: Solve for x
    x = 2,098,656.57/1,489.50
  6. Step 6: Final answer
    x = 1,408.97

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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.