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Finding the Fourth Proportional to 2,057.55, 3,086.85 and 596.82

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Solution

The fourth proportional to 2,057.55, 3,086.85 and 596.82 is: 895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.55 : 3,086.85 = 596.82 : x
  2. Step 2: Convert to fraction form
    2,057.55/3,086.85 = 596.82/x
  3. Step 3: Cross multiply
    2,057.55x = 3,086.85 × 596.82
  4. Step 4: Simplify right side
    2,057.55x = 1,842,293.82
  5. Step 5: Solve for x
    x = 1,842,293.82/2,057.55
  6. Step 6: Final answer
    x = 895.38

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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.