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Finding the Fourth Proportional to 2,191.41, 3,286.40 and 730.22

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Solution

The fourth proportional to 2,191.41, 3,286.40 and 730.22 is: 1,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.41 : 3,286.40 = 730.22 : x
  2. Step 2: Convert to fraction form
    2,191.41/3,286.40 = 730.22/x
  3. Step 3: Cross multiply
    2,191.41x = 3,286.40 × 730.22
  4. Step 4: Simplify right side
    2,191.41x = 2,399,792.73
  5. Step 5: Solve for x
    x = 2,399,792.73/2,191.41
  6. Step 6: Final answer
    x = 1,095.09

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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.