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Finding the Fourth Proportional to 2,191.79, 3,286.17 and 804.94

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Solution

The fourth proportional to 2,191.79, 3,286.17 and 804.94 is: 1,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.79 : 3,286.17 = 804.94 : x
  2. Step 2: Convert to fraction form
    2,191.79/3,286.17 = 804.94/x
  3. Step 3: Cross multiply
    2,191.79x = 3,286.17 × 804.94
  4. Step 4: Simplify right side
    2,191.79x = 2,645,161.46
  5. Step 5: Solve for x
    x = 2,645,161.46/2,191.79
  6. Step 6: Final answer
    x = 1,206.85

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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.