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Finding the Fourth Proportional to 2,641.17, 3,961.76 and 792.25

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Solution

The fourth proportional to 2,641.17, 3,961.76 and 792.25 is: 1,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.17 : 3,961.76 = 792.25 : x
  2. Step 2: Convert to fraction form
    2,641.17/3,961.76 = 792.25/x
  3. Step 3: Cross multiply
    2,641.17x = 3,961.76 × 792.25
  4. Step 4: Simplify right side
    2,641.17x = 3,138,704.36
  5. Step 5: Solve for x
    x = 3,138,704.36/2,641.17
  6. Step 6: Final answer
    x = 1,188.38

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Similar ratio
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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.