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Finding the Fourth Proportional to 2,190.27, 3,284.97 and 873.62

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Solution

The fourth proportional to 2,190.27, 3,284.97 and 873.62 is: 1,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.27 : 3,284.97 = 873.62 : x
  2. Step 2: Convert to fraction form
    2,190.27/3,284.97 = 873.62/x
  3. Step 3: Cross multiply
    2,190.27x = 3,284.97 × 873.62
  4. Step 4: Simplify right side
    2,190.27x = 2,869,815.49
  5. Step 5: Solve for x
    x = 2,869,815.49/2,190.27
  6. Step 6: Final answer
    x = 1,310.26

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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.