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Finding the Fourth Proportional to 2,052.53, 2,832.45 and 1,168.31

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Solution

The fourth proportional to 2,052.53, 2,832.45 and 1,168.31 is: 1,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.53 : 2,832.45 = 1,168.31 : x
  2. Step 2: Convert to fraction form
    2,052.53/2,832.45 = 1,168.31/x
  3. Step 3: Cross multiply
    2,052.53x = 2,832.45 × 1,168.31
  4. Step 4: Simplify right side
    2,052.53x = 3,309,179.66
  5. Step 5: Solve for x
    x = 3,309,179.66/2,052.53
  6. Step 6: Final answer
    x = 1,612.24

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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.