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Finding the Fourth Proportional to 2,491.08, 3,736.60 and 759.72

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Solution

The fourth proportional to 2,491.08, 3,736.60 and 759.72 is: 1,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.08 : 3,736.60 = 759.72 : x
  2. Step 2: Convert to fraction form
    2,491.08/3,736.60 = 759.72/x
  3. Step 3: Cross multiply
    2,491.08x = 3,736.60 × 759.72
  4. Step 4: Simplify right side
    2,491.08x = 2,838,769.75
  5. Step 5: Solve for x
    x = 2,838,769.75/2,491.08
  6. Step 6: Final answer
    x = 1,139.57

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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.