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Finding the Fourth Proportional to 2,257.06, 3,385.51 and 796.18

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Solution

The fourth proportional to 2,257.06, 3,385.51 and 796.18 is: 1,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.06 : 3,385.51 = 796.18 : x
  2. Step 2: Convert to fraction form
    2,257.06/3,385.51 = 796.18/x
  3. Step 3: Cross multiply
    2,257.06x = 3,385.51 × 796.18
  4. Step 4: Simplify right side
    2,257.06x = 2,695,464.90
  5. Step 5: Solve for x
    x = 2,695,464.90/2,257.06
  6. Step 6: Final answer
    x = 1,194.24

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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.