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Finding the Fourth Proportional to 2,183.95, 3,013.75 and 1,189.20

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Solution

The fourth proportional to 2,183.95, 3,013.75 and 1,189.20 is: 1,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.95 : 3,013.75 = 1,189.20 : x
  2. Step 2: Convert to fraction form
    2,183.95/3,013.75 = 1,189.20/x
  3. Step 3: Cross multiply
    2,183.95x = 3,013.75 × 1,189.20
  4. Step 4: Simplify right side
    2,183.95x = 3,583,951.50
  5. Step 5: Solve for x
    x = 3,583,951.50/2,183.95
  6. Step 6: Final answer
    x = 1,641.04

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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.