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Finding the Fourth Proportional to 2,551.32, 3,826.92 and 796.20

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Solution

The fourth proportional to 2,551.32, 3,826.92 and 796.20 is: 1,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.32 : 3,826.92 = 796.20 : x
  2. Step 2: Convert to fraction form
    2,551.32/3,826.92 = 796.20/x
  3. Step 3: Cross multiply
    2,551.32x = 3,826.92 × 796.20
  4. Step 4: Simplify right side
    2,551.32x = 3,046,993.70
  5. Step 5: Solve for x
    x = 3,046,993.70/2,551.32
  6. Step 6: Final answer
    x = 1,194.28

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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.