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Finding the Fourth Proportional to 2,107.80, 3,162.24 and 808.92

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Solution

The fourth proportional to 2,107.80, 3,162.24 and 808.92 is: 1,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.80 : 3,162.24 = 808.92 : x
  2. Step 2: Convert to fraction form
    2,107.80/3,162.24 = 808.92/x
  3. Step 3: Cross multiply
    2,107.80x = 3,162.24 × 808.92
  4. Step 4: Simplify right side
    2,107.80x = 2,557,999.18
  5. Step 5: Solve for x
    x = 2,557,999.18/2,107.80
  6. Step 6: Final answer
    x = 1,213.59

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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.