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Finding the Fourth Proportional to 2,489.70, 3,734.28 and 758.33

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Solution

The fourth proportional to 2,489.70, 3,734.28 and 758.33 is: 1,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.70 : 3,734.28 = 758.33 : x
  2. Step 2: Convert to fraction form
    2,489.70/3,734.28 = 758.33/x
  3. Step 3: Cross multiply
    2,489.70x = 3,734.28 × 758.33
  4. Step 4: Simplify right side
    2,489.70x = 2,831,816.55
  5. Step 5: Solve for x
    x = 2,831,816.55/2,489.70
  6. Step 6: Final answer
    x = 1,137.41

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1.5x scale

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.