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Finding the Fourth Proportional to 2,107.60, 3,161.84 and 809.06

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Solution

The fourth proportional to 2,107.60, 3,161.84 and 809.06 is: 1,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.60 : 3,161.84 = 809.06 : x
  2. Step 2: Convert to fraction form
    2,107.60/3,161.84 = 809.06/x
  3. Step 3: Cross multiply
    2,107.60x = 3,161.84 × 809.06
  4. Step 4: Simplify right side
    2,107.60x = 2,558,118.27
  5. Step 5: Solve for x
    x = 2,558,118.27/2,107.60
  6. Step 6: Final answer
    x = 1,213.76

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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.