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Finding the Fourth Proportional to 2,790.64, 4,183.80 and 2,549.80

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Solution

The fourth proportional to 2,790.64, 4,183.80 and 2,549.80 is: 3,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.64 : 4,183.80 = 2,549.80 : x
  2. Step 2: Convert to fraction form
    2,790.64/4,183.80 = 2,549.80/x
  3. Step 3: Cross multiply
    2,790.64x = 4,183.80 × 2,549.80
  4. Step 4: Simplify right side
    2,790.64x = 10,667,853.24
  5. Step 5: Solve for x
    x = 10,667,853.24/2,790.64
  6. Step 6: Final answer
    x = 3,822.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.