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Finding the Fourth Proportional to 2,057.15, 3,086.18 and 596.18

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Solution

The fourth proportional to 2,057.15, 3,086.18 and 596.18 is: 894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.15 : 3,086.18 = 596.18 : x
  2. Step 2: Convert to fraction form
    2,057.15/3,086.18 = 596.18/x
  3. Step 3: Cross multiply
    2,057.15x = 3,086.18 × 596.18
  4. Step 4: Simplify right side
    2,057.15x = 1,839,900.38
  5. Step 5: Solve for x
    x = 1,839,900.38/2,057.15
  6. Step 6: Final answer
    x = 894.40

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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.