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Finding the Fourth Proportional to 2,490.54, 3,736.02 and 759.18

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Solution

The fourth proportional to 2,490.54, 3,736.02 and 759.18 is: 1,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.54 : 3,736.02 = 759.18 : x
  2. Step 2: Convert to fraction form
    2,490.54/3,736.02 = 759.18/x
  3. Step 3: Cross multiply
    2,490.54x = 3,736.02 × 759.18
  4. Step 4: Simplify right side
    2,490.54x = 2,836,311.66
  5. Step 5: Solve for x
    x = 2,836,311.66/2,490.54
  6. Step 6: Final answer
    x = 1,138.83

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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.