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Finding the Fourth Proportional to 3,231.84, 4,841.28 and 2,769.60

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Solution

The fourth proportional to 3,231.84, 4,841.28 and 2,769.60 is: 4,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.84 : 4,841.28 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    3,231.84/4,841.28 = 2,769.60/x
  3. Step 3: Cross multiply
    3,231.84x = 4,841.28 × 2,769.60
  4. Step 4: Simplify right side
    3,231.84x = 13,408,409.09
  5. Step 5: Solve for x
    x = 13,408,409.09/3,231.84
  6. Step 6: Final answer
    x = 4,148.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.