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Finding the Fourth Proportional to 3,234.47, 4,843.74 and 1,844.37

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Solution

The fourth proportional to 3,234.47, 4,843.74 and 1,844.37 is: 2,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.47 : 4,843.74 = 1,844.37 : x
  2. Step 2: Convert to fraction form
    3,234.47/4,843.74 = 1,844.37/x
  3. Step 3: Cross multiply
    3,234.47x = 4,843.74 × 1,844.37
  4. Step 4: Simplify right side
    3,234.47x = 8,933,651.63
  5. Step 5: Solve for x
    x = 8,933,651.63/3,234.47
  6. Step 6: Final answer
    x = 2,762.02

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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.