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Finding the Fourth Proportional to 1,633.75, 2,255.74 and 1,005.12

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Solution

The fourth proportional to 1,633.75, 2,255.74 and 1,005.12 is: 1,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.75 : 2,255.74 = 1,005.12 : x
  2. Step 2: Convert to fraction form
    1,633.75/2,255.74 = 1,005.12/x
  3. Step 3: Cross multiply
    1,633.75x = 2,255.74 × 1,005.12
  4. Step 4: Simplify right side
    1,633.75x = 2,267,286.88
  5. Step 5: Solve for x
    x = 2,267,286.88/1,633.75
  6. Step 6: Final answer
    x = 1,387.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.