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Finding the Fourth Proportional to 2,183.85, 3,013.73 and 1,189.13

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Solution

The fourth proportional to 2,183.85, 3,013.73 and 1,189.13 is: 1,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.85 : 3,013.73 = 1,189.13 : x
  2. Step 2: Convert to fraction form
    2,183.85/3,013.73 = 1,189.13/x
  3. Step 3: Cross multiply
    2,183.85x = 3,013.73 × 1,189.13
  4. Step 4: Simplify right side
    2,183.85x = 3,583,712.97
  5. Step 5: Solve for x
    x = 3,583,712.97/2,183.85
  6. Step 6: Final answer
    x = 1,641.01

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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.