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Finding the Fourth Proportional to 3,451.94, 4,769.26 and 2,408.66

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Solution

The fourth proportional to 3,451.94, 4,769.26 and 2,408.66 is: 3,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.94 : 4,769.26 = 2,408.66 : x
  2. Step 2: Convert to fraction form
    3,451.94/4,769.26 = 2,408.66/x
  3. Step 3: Cross multiply
    3,451.94x = 4,769.26 × 2,408.66
  4. Step 4: Simplify right side
    3,451.94x = 11,487,525.79
  5. Step 5: Solve for x
    x = 11,487,525.79/3,451.94
  6. Step 6: Final answer
    x = 3,327.85

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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.