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Finding the Fourth Proportional to 3,201.96, 4,418.82 and 1,805

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Solution

The fourth proportional to 3,201.96, 4,418.82 and 1,805 is: 2,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.96 : 4,418.82 = 1,805 : x
  2. Step 2: Convert to fraction form
    3,201.96/4,418.82 = 1,805/x
  3. Step 3: Cross multiply
    3,201.96x = 4,418.82 × 1,805
  4. Step 4: Simplify right side
    3,201.96x = 7,975,970.10
  5. Step 5: Solve for x
    x = 7,975,970.10/3,201.96
  6. Step 6: Final answer
    x = 2,490.96

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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.