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Finding the Fourth Proportional to 2,893.35, 4,340.22 and 1,161.97

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Solution

The fourth proportional to 2,893.35, 4,340.22 and 1,161.97 is: 1,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.35 : 4,340.22 = 1,161.97 : x
  2. Step 2: Convert to fraction form
    2,893.35/4,340.22 = 1,161.97/x
  3. Step 3: Cross multiply
    2,893.35x = 4,340.22 × 1,161.97
  4. Step 4: Simplify right side
    2,893.35x = 5,043,205.43
  5. Step 5: Solve for x
    x = 5,043,205.43/2,893.35
  6. Step 6: Final answer
    x = 1,743.04

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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.