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Finding the Fourth Proportional to 2,052.91, 2,833.04 and 1,168.70

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Solution

The fourth proportional to 2,052.91, 2,833.04 and 1,168.70 is: 1,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.91 : 2,833.04 = 1,168.70 : x
  2. Step 2: Convert to fraction form
    2,052.91/2,833.04 = 1,168.70/x
  3. Step 3: Cross multiply
    2,052.91x = 2,833.04 × 1,168.70
  4. Step 4: Simplify right side
    2,052.91x = 3,310,983.85
  5. Step 5: Solve for x
    x = 3,310,983.85/2,052.91
  6. Step 6: Final answer
    x = 1,612.83

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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.