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Finding the Fourth Proportional to 3,203.58, 4,418.66 and 2,082.44

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Solution

The fourth proportional to 3,203.58, 4,418.66 and 2,082.44 is: 2,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.58 : 4,418.66 = 2,082.44 : x
  2. Step 2: Convert to fraction form
    3,203.58/4,418.66 = 2,082.44/x
  3. Step 3: Cross multiply
    3,203.58x = 4,418.66 × 2,082.44
  4. Step 4: Simplify right side
    3,203.58x = 9,201,594.33
  5. Step 5: Solve for x
    x = 9,201,594.33/3,203.58
  6. Step 6: Final answer
    x = 2,872.28

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