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Finding the Fourth Proportional to 2,057.92, 3,086.16 and 596.68

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Solution

The fourth proportional to 2,057.92, 3,086.16 and 596.68 is: 894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.92 : 3,086.16 = 596.68 : x
  2. Step 2: Convert to fraction form
    2,057.92/3,086.16 = 596.68/x
  3. Step 3: Cross multiply
    2,057.92x = 3,086.16 × 596.68
  4. Step 4: Simplify right side
    2,057.92x = 1,841,449.95
  5. Step 5: Solve for x
    x = 1,841,449.95/2,057.92
  6. Step 6: Final answer
    x = 894.81

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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.