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Finding the Fourth Proportional to 2,810.73, 4,216.91 and 863.22

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Solution

The fourth proportional to 2,810.73, 4,216.91 and 863.22 is: 1,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.73 : 4,216.91 = 863.22 : x
  2. Step 2: Convert to fraction form
    2,810.73/4,216.91 = 863.22/x
  3. Step 3: Cross multiply
    2,810.73x = 4,216.91 × 863.22
  4. Step 4: Simplify right side
    2,810.73x = 3,640,121.05
  5. Step 5: Solve for x
    x = 3,640,121.05/2,810.73
  6. Step 6: Final answer
    x = 1,295.08

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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.