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Finding the Fourth Proportional to 2,057.01, 3,086.04 and 596.16

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Solution

The fourth proportional to 2,057.01, 3,086.04 and 596.16 is: 894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.01 : 3,086.04 = 596.16 : x
  2. Step 2: Convert to fraction form
    2,057.01/3,086.04 = 596.16/x
  3. Step 3: Cross multiply
    2,057.01x = 3,086.04 × 596.16
  4. Step 4: Simplify right side
    2,057.01x = 1,839,773.61
  5. Step 5: Solve for x
    x = 1,839,773.61/2,057.01
  6. Step 6: Final answer
    x = 894.39

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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.