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Finding the Fourth Proportional to 2,183.88, 3,013.80 and 1,189.17

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Solution

The fourth proportional to 2,183.88, 3,013.80 and 1,189.17 is: 1,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.88 : 3,013.80 = 1,189.17 : x
  2. Step 2: Convert to fraction form
    2,183.88/3,013.80 = 1,189.17/x
  3. Step 3: Cross multiply
    2,183.88x = 3,013.80 × 1,189.17
  4. Step 4: Simplify right side
    2,183.88x = 3,583,920.55
  5. Step 5: Solve for x
    x = 3,583,920.55/2,183.88
  6. Step 6: Final answer
    x = 1,641.08

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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.