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Finding the Fourth Proportional to 2,057.36, 3,086.51 and 596.45

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Solution

The fourth proportional to 2,057.36, 3,086.51 and 596.45 is: 894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.36 : 3,086.51 = 596.45 : x
  2. Step 2: Convert to fraction form
    2,057.36/3,086.51 = 596.45/x
  3. Step 3: Cross multiply
    2,057.36x = 3,086.51 × 596.45
  4. Step 4: Simplify right side
    2,057.36x = 1,840,953.62
  5. Step 5: Solve for x
    x = 1,840,953.62/2,057.36
  6. Step 6: Final answer
    x = 894.82

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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.