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Finding the Fourth Proportional to 2,190.41, 3,286.74 and 873.88

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Solution

The fourth proportional to 2,190.41, 3,286.74 and 873.88 is: 1,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.41 : 3,286.74 = 873.88 : x
  2. Step 2: Convert to fraction form
    2,190.41/3,286.74 = 873.88/x
  3. Step 3: Cross multiply
    2,190.41x = 3,286.74 × 873.88
  4. Step 4: Simplify right side
    2,190.41x = 2,872,216.35
  5. Step 5: Solve for x
    x = 2,872,216.35/2,190.41
  6. Step 6: Final answer
    x = 1,311.27

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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.