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Finding the Fourth Proportional to 2,574.24, 3,861.92 and 843.04

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Solution

The fourth proportional to 2,574.24, 3,861.92 and 843.04 is: 1,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.24 : 3,861.92 = 843.04 : x
  2. Step 2: Convert to fraction form
    2,574.24/3,861.92 = 843.04/x
  3. Step 3: Cross multiply
    2,574.24x = 3,861.92 × 843.04
  4. Step 4: Simplify right side
    2,574.24x = 3,255,753.04
  5. Step 5: Solve for x
    x = 3,255,753.04/2,574.24
  6. Step 6: Final answer
    x = 1,264.74

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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.