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Finding the Fourth Proportional to 2,491.82, 3,732.87 and 1,832.48

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Solution

The fourth proportional to 2,491.82, 3,732.87 and 1,832.48 is: 2,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.82 : 3,732.87 = 1,832.48 : x
  2. Step 2: Convert to fraction form
    2,491.82/3,732.87 = 1,832.48/x
  3. Step 3: Cross multiply
    2,491.82x = 3,732.87 × 1,832.48
  4. Step 4: Simplify right side
    2,491.82x = 6,840,409.62
  5. Step 5: Solve for x
    x = 6,840,409.62/2,491.82
  6. Step 6: Final answer
    x = 2,745.15

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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.