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Finding the Fourth Proportional to 2,596.24, 3,892.92 and 863.92

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Solution

The fourth proportional to 2,596.24, 3,892.92 and 863.92 is: 1,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.24 : 3,892.92 = 863.92 : x
  2. Step 2: Convert to fraction form
    2,596.24/3,892.92 = 863.92/x
  3. Step 3: Cross multiply
    2,596.24x = 3,892.92 × 863.92
  4. Step 4: Simplify right side
    2,596.24x = 3,363,171.45
  5. Step 5: Solve for x
    x = 3,363,171.45/2,596.24
  6. Step 6: Final answer
    x = 1,295.40

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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.