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Finding the Fourth Proportional to 2,183.19, 3,012.71 and 1,188.48

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Solution

The fourth proportional to 2,183.19, 3,012.71 and 1,188.48 is: 1,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.19 : 3,012.71 = 1,188.48 : x
  2. Step 2: Convert to fraction form
    2,183.19/3,012.71 = 1,188.48/x
  3. Step 3: Cross multiply
    2,183.19x = 3,012.71 × 1,188.48
  4. Step 4: Simplify right side
    2,183.19x = 3,580,540.67
  5. Step 5: Solve for x
    x = 3,580,540.67/2,183.19
  6. Step 6: Final answer
    x = 1,640.05

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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.