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Finding the Fourth Proportional to 1,633.80, 2,447.82 and 810.12

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Solution

The fourth proportional to 1,633.80, 2,447.82 and 810.12 is: 1,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.80 : 2,447.82 = 810.12 : x
  2. Step 2: Convert to fraction form
    1,633.80/2,447.82 = 810.12/x
  3. Step 3: Cross multiply
    1,633.80x = 2,447.82 × 810.12
  4. Step 4: Simplify right side
    1,633.80x = 1,983,027.94
  5. Step 5: Solve for x
    x = 1,983,027.94/1,633.80
  6. Step 6: Final answer
    x = 1,213.75

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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.