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Finding the Fourth Proportional to 1,593.42, 2,198.88 and 894.84

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Solution

The fourth proportional to 1,593.42, 2,198.88 and 894.84 is: 1,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.42 : 2,198.88 = 894.84 : x
  2. Step 2: Convert to fraction form
    1,593.42/2,198.88 = 894.84/x
  3. Step 3: Cross multiply
    1,593.42x = 2,198.88 × 894.84
  4. Step 4: Simplify right side
    1,593.42x = 1,967,645.78
  5. Step 5: Solve for x
    x = 1,967,645.78/1,593.42
  6. Step 6: Final answer
    x = 1,234.86

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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.