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Finding the Fourth Proportional to 2,736, 4,105.62 and 1,175.96

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Solution

The fourth proportional to 2,736, 4,105.62 and 1,175.96 is: 1,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736 : 4,105.62 = 1,175.96 : x
  2. Step 2: Convert to fraction form
    2,736/4,105.62 = 1,175.96/x
  3. Step 3: Cross multiply
    2,736x = 4,105.62 × 1,175.96
  4. Step 4: Simplify right side
    2,736x = 4,828,044.90
  5. Step 5: Solve for x
    x = 4,828,044.90/2,736
  6. Step 6: Final answer
    x = 1,764.64

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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.