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Finding the Fourth Proportional to 3,193.42, 4,407.33 and 1,796.44

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Solution

The fourth proportional to 3,193.42, 4,407.33 and 1,796.44 is: 2,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.42 : 4,407.33 = 1,796.44 : x
  2. Step 2: Convert to fraction form
    3,193.42/4,407.33 = 1,796.44/x
  3. Step 3: Cross multiply
    3,193.42x = 4,407.33 × 1,796.44
  4. Step 4: Simplify right side
    3,193.42x = 7,917,503.91
  5. Step 5: Solve for x
    x = 7,917,503.91/3,193.42
  6. Step 6: Final answer
    x = 2,479.32

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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.