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Finding the Fourth Proportional to 2,491.26, 3,736.90 and 759.90

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Solution

The fourth proportional to 2,491.26, 3,736.90 and 759.90 is: 1,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.26 : 3,736.90 = 759.90 : x
  2. Step 2: Convert to fraction form
    2,491.26/3,736.90 = 759.90/x
  3. Step 3: Cross multiply
    2,491.26x = 3,736.90 × 759.90
  4. Step 4: Simplify right side
    2,491.26x = 2,839,670.31
  5. Step 5: Solve for x
    x = 2,839,670.31/2,491.26
  6. Step 6: Final answer
    x = 1,139.85

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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.