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Finding the Fourth Proportional to 2,481.99, 3,723.53 and 838.50

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Solution

The fourth proportional to 2,481.99, 3,723.53 and 838.50 is: 1,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.99 : 3,723.53 = 838.50 : x
  2. Step 2: Convert to fraction form
    2,481.99/3,723.53 = 838.50/x
  3. Step 3: Cross multiply
    2,481.99x = 3,723.53 × 838.50
  4. Step 4: Simplify right side
    2,481.99x = 3,122,179.91
  5. Step 5: Solve for x
    x = 3,122,179.91/2,481.99
  6. Step 6: Final answer
    x = 1,257.93

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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.