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Finding the Fourth Proportional to 2,052.44, 2,832.46 and 1,168.52

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Solution

The fourth proportional to 2,052.44, 2,832.46 and 1,168.52 is: 1,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.44 : 2,832.46 = 1,168.52 : x
  2. Step 2: Convert to fraction form
    2,052.44/2,832.46 = 1,168.52/x
  3. Step 3: Cross multiply
    2,052.44x = 2,832.46 × 1,168.52
  4. Step 4: Simplify right side
    2,052.44x = 3,309,786.16
  5. Step 5: Solve for x
    x = 3,309,786.16/2,052.44
  6. Step 6: Final answer
    x = 1,612.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.