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Finding the Fourth Proportional to 2,618.16, 3,927.92 and 863.43

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Solution

The fourth proportional to 2,618.16, 3,927.92 and 863.43 is: 1,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.16 : 3,927.92 = 863.43 : x
  2. Step 2: Convert to fraction form
    2,618.16/3,927.92 = 863.43/x
  3. Step 3: Cross multiply
    2,618.16x = 3,927.92 × 863.43
  4. Step 4: Simplify right side
    2,618.16x = 3,391,479.65
  5. Step 5: Solve for x
    x = 3,391,479.65/2,618.16
  6. Step 6: Final answer
    x = 1,295.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.