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Finding the Fourth Proportional to 2,861.24, 4,291.90 and 809.24

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Solution

The fourth proportional to 2,861.24, 4,291.90 and 809.24 is: 1,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.24 : 4,291.90 = 809.24 : x
  2. Step 2: Convert to fraction form
    2,861.24/4,291.90 = 809.24/x
  3. Step 3: Cross multiply
    2,861.24x = 4,291.90 × 809.24
  4. Step 4: Simplify right side
    2,861.24x = 3,473,177.16
  5. Step 5: Solve for x
    x = 3,473,177.16/2,861.24
  6. Step 6: Final answer
    x = 1,213.87

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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.