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Finding the Fourth Proportional to 2,257.75, 3,386.17 and 796.96

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Solution

The fourth proportional to 2,257.75, 3,386.17 and 796.96 is: 1,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.75 : 3,386.17 = 796.96 : x
  2. Step 2: Convert to fraction form
    2,257.75/3,386.17 = 796.96/x
  3. Step 3: Cross multiply
    2,257.75x = 3,386.17 × 796.96
  4. Step 4: Simplify right side
    2,257.75x = 2,698,642.04
  5. Step 5: Solve for x
    x = 2,698,642.04/2,257.75
  6. Step 6: Final answer
    x = 1,195.28

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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.