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Finding the Fourth Proportional to 2,489.16, 3,734.10 and 949.80

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Solution

The fourth proportional to 2,489.16, 3,734.10 and 949.80 is: 1,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.16 : 3,734.10 = 949.80 : x
  2. Step 2: Convert to fraction form
    2,489.16/3,734.10 = 949.80/x
  3. Step 3: Cross multiply
    2,489.16x = 3,734.10 × 949.80
  4. Step 4: Simplify right side
    2,489.16x = 3,546,648.18
  5. Step 5: Solve for x
    x = 3,546,648.18/2,489.16
  6. Step 6: Final answer
    x = 1,424.84

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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.