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Finding the Fourth Proportional to 3,224.71, 4,449.92 and 1,808.29

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Solution

The fourth proportional to 3,224.71, 4,449.92 and 1,808.29 is: 2,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.71 : 4,449.92 = 1,808.29 : x
  2. Step 2: Convert to fraction form
    3,224.71/4,449.92 = 1,808.29/x
  3. Step 3: Cross multiply
    3,224.71x = 4,449.92 × 1,808.29
  4. Step 4: Simplify right side
    3,224.71x = 8,046,736.80
  5. Step 5: Solve for x
    x = 8,046,736.80/3,224.71
  6. Step 6: Final answer
    x = 2,495.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.