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Finding the Fourth Proportional to 2,811.26, 4,216.94 and 863.48

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Solution

The fourth proportional to 2,811.26, 4,216.94 and 863.48 is: 1,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.26 : 4,216.94 = 863.48 : x
  2. Step 2: Convert to fraction form
    2,811.26/4,216.94 = 863.48/x
  3. Step 3: Cross multiply
    2,811.26x = 4,216.94 × 863.48
  4. Step 4: Simplify right side
    2,811.26x = 3,641,243.35
  5. Step 5: Solve for x
    x = 3,641,243.35/2,811.26
  6. Step 6: Final answer
    x = 1,295.24

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1.5x scale

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.