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Finding the Fourth Proportional to 2,057.54, 3,086.27 and 518.50

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Solution

The fourth proportional to 2,057.54, 3,086.27 and 518.50 is: 777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.54 : 3,086.27 = 518.50 : x
  2. Step 2: Convert to fraction form
    2,057.54/3,086.27 = 518.50/x
  3. Step 3: Cross multiply
    2,057.54x = 3,086.27 × 518.50
  4. Step 4: Simplify right side
    2,057.54x = 1,600,231.00
  5. Step 5: Solve for x
    x = 1,600,231.00/2,057.54
  6. Step 6: Final answer
    x = 777.74

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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.