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Finding the Fourth Proportional to 2,057.03, 3,086.00 and 596.13

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Solution

The fourth proportional to 2,057.03, 3,086.00 and 596.13 is: 894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.03 : 3,086.00 = 596.13 : x
  2. Step 2: Convert to fraction form
    2,057.03/3,086.00 = 596.13/x
  3. Step 3: Cross multiply
    2,057.03x = 3,086.00 × 596.13
  4. Step 4: Simplify right side
    2,057.03x = 1,839,654.20
  5. Step 5: Solve for x
    x = 1,839,654.20/2,057.03
  6. Step 6: Final answer
    x = 894.33

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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.