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Finding the Fourth Proportional to 3,424.89, 4,726.38 and 1,932.82

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Solution

The fourth proportional to 3,424.89, 4,726.38 and 1,932.82 is: 2,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.89 : 4,726.38 = 1,932.82 : x
  2. Step 2: Convert to fraction form
    3,424.89/4,726.38 = 1,932.82/x
  3. Step 3: Cross multiply
    3,424.89x = 4,726.38 × 1,932.82
  4. Step 4: Simplify right side
    3,424.89x = 9,135,241.79
  5. Step 5: Solve for x
    x = 9,135,241.79/3,424.89
  6. Step 6: Final answer
    x = 2,667.31

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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.