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Finding the Fourth Proportional to 2,183.46, 3,013.12 and 1,188.74

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Solution

The fourth proportional to 2,183.46, 3,013.12 and 1,188.74 is: 1,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.46 : 3,013.12 = 1,188.74 : x
  2. Step 2: Convert to fraction form
    2,183.46/3,013.12 = 1,188.74/x
  3. Step 3: Cross multiply
    2,183.46x = 3,013.12 × 1,188.74
  4. Step 4: Simplify right side
    2,183.46x = 3,581,816.27
  5. Step 5: Solve for x
    x = 3,581,816.27/2,183.46
  6. Step 6: Final answer
    x = 1,640.43

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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.