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Finding the Fourth Proportional to 2,490.57, 3,735.84 and 759.20

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Solution

The fourth proportional to 2,490.57, 3,735.84 and 759.20 is: 1,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.57 : 3,735.84 = 759.20 : x
  2. Step 2: Convert to fraction form
    2,490.57/3,735.84 = 759.20/x
  3. Step 3: Cross multiply
    2,490.57x = 3,735.84 × 759.20
  4. Step 4: Simplify right side
    2,490.57x = 2,836,231.05
  5. Step 5: Solve for x
    x = 2,836,231.05/2,490.57
  6. Step 6: Final answer
    x = 1,138.79

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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.