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Finding the Fourth Proportional to 2,183.06, 3,272.25 and 1,085.06

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Solution

The fourth proportional to 2,183.06, 3,272.25 and 1,085.06 is: 1,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.06 : 3,272.25 = 1,085.06 : x
  2. Step 2: Convert to fraction form
    2,183.06/3,272.25 = 1,085.06/x
  3. Step 3: Cross multiply
    2,183.06x = 3,272.25 × 1,085.06
  4. Step 4: Simplify right side
    2,183.06x = 3,550,587.59
  5. Step 5: Solve for x
    x = 3,550,587.59/2,183.06
  6. Step 6: Final answer
    x = 1,626.43

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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.