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Finding the Fourth Proportional to 1,593.56, 2,194.62 and 1,446.68

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Solution

The fourth proportional to 1,593.56, 2,194.62 and 1,446.68 is: 1,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.56 : 2,194.62 = 1,446.68 : x
  2. Step 2: Convert to fraction form
    1,593.56/2,194.62 = 1,446.68/x
  3. Step 3: Cross multiply
    1,593.56x = 2,194.62 × 1,446.68
  4. Step 4: Simplify right side
    1,593.56x = 3,174,912.86
  5. Step 5: Solve for x
    x = 3,174,912.86/1,593.56
  6. Step 6: Final answer
    x = 1,992.34

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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.