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Finding the Fourth Proportional to 2,057.49, 3,086.15 and 596.61

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Solution

The fourth proportional to 2,057.49, 3,086.15 and 596.61 is: 894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.49 : 3,086.15 = 596.61 : x
  2. Step 2: Convert to fraction form
    2,057.49/3,086.15 = 596.61/x
  3. Step 3: Cross multiply
    2,057.49x = 3,086.15 × 596.61
  4. Step 4: Simplify right side
    2,057.49x = 1,841,224.97
  5. Step 5: Solve for x
    x = 1,841,224.97/2,057.49
  6. Step 6: Final answer
    x = 894.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.