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Finding the Fourth Proportional to 2,893.29, 4,340.47 and 1,162.05

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Solution

The fourth proportional to 2,893.29, 4,340.47 and 1,162.05 is: 1,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.29 : 4,340.47 = 1,162.05 : x
  2. Step 2: Convert to fraction form
    2,893.29/4,340.47 = 1,162.05/x
  3. Step 3: Cross multiply
    2,893.29x = 4,340.47 × 1,162.05
  4. Step 4: Simplify right side
    2,893.29x = 5,043,843.16
  5. Step 5: Solve for x
    x = 5,043,843.16/2,893.29
  6. Step 6: Final answer
    x = 1,743.29

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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.