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Finding the Fourth Proportional to 2,566.75, 3,850.31 and 1,027.75

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Solution

The fourth proportional to 2,566.75, 3,850.31 and 1,027.75 is: 1,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.75 : 3,850.31 = 1,027.75 : x
  2. Step 2: Convert to fraction form
    2,566.75/3,850.31 = 1,027.75/x
  3. Step 3: Cross multiply
    2,566.75x = 3,850.31 × 1,027.75
  4. Step 4: Simplify right side
    2,566.75x = 3,957,156.10
  5. Step 5: Solve for x
    x = 3,957,156.10/2,566.75
  6. Step 6: Final answer
    x = 1,541.70

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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.