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Finding the Fourth Proportional to 3,224.42, 4,832.03 and 1,908.44

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Solution

The fourth proportional to 3,224.42, 4,832.03 and 1,908.44 is: 2,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.42 : 4,832.03 = 1,908.44 : x
  2. Step 2: Convert to fraction form
    3,224.42/4,832.03 = 1,908.44/x
  3. Step 3: Cross multiply
    3,224.42x = 4,832.03 × 1,908.44
  4. Step 4: Simplify right side
    3,224.42x = 9,221,619.94
  5. Step 5: Solve for x
    x = 9,221,619.94/3,224.42
  6. Step 6: Final answer
    x = 2,859.94

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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.