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Finding the Fourth Proportional to 3,201.44, 4,794.82 and 2,880.68

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Solution

The fourth proportional to 3,201.44, 4,794.82 and 2,880.68 is: 4,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.44 : 4,794.82 = 2,880.68 : x
  2. Step 2: Convert to fraction form
    3,201.44/4,794.82 = 2,880.68/x
  3. Step 3: Cross multiply
    3,201.44x = 4,794.82 × 2,880.68
  4. Step 4: Simplify right side
    3,201.44x = 13,812,342.08
  5. Step 5: Solve for x
    x = 13,812,342.08/3,201.44
  6. Step 6: Final answer
    x = 4,314.42

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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.