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Finding the Fourth Proportional to 2,183.76, 3,013.50 and 1,189.02

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Solution

The fourth proportional to 2,183.76, 3,013.50 and 1,189.02 is: 1,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.76 : 3,013.50 = 1,189.02 : x
  2. Step 2: Convert to fraction form
    2,183.76/3,013.50 = 1,189.02/x
  3. Step 3: Cross multiply
    2,183.76x = 3,013.50 × 1,189.02
  4. Step 4: Simplify right side
    2,183.76x = 3,583,111.77
  5. Step 5: Solve for x
    x = 3,583,111.77/2,183.76
  6. Step 6: Final answer
    x = 1,640.80

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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.