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Finding the Fourth Proportional to 2,276.84, 3,416.82 and 796.06

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Solution

The fourth proportional to 2,276.84, 3,416.82 and 796.06 is: 1,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.84 : 3,416.82 = 796.06 : x
  2. Step 2: Convert to fraction form
    2,276.84/3,416.82 = 796.06/x
  3. Step 3: Cross multiply
    2,276.84x = 3,416.82 × 796.06
  4. Step 4: Simplify right side
    2,276.84x = 2,719,993.73
  5. Step 5: Solve for x
    x = 2,719,993.73/2,276.84
  6. Step 6: Final answer
    x = 1,194.64

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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.