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Finding the Fourth Proportional to 2,893.25, 4,340.09 and 1,161.88

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Solution

The fourth proportional to 2,893.25, 4,340.09 and 1,161.88 is: 1,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.25 : 4,340.09 = 1,161.88 : x
  2. Step 2: Convert to fraction form
    2,893.25/4,340.09 = 1,161.88/x
  3. Step 3: Cross multiply
    2,893.25x = 4,340.09 × 1,161.88
  4. Step 4: Simplify right side
    2,893.25x = 5,042,636.26
  5. Step 5: Solve for x
    x = 5,042,636.26/2,893.25
  6. Step 6: Final answer
    x = 1,742.90

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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.