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Finding the Fourth Proportional to 2,560.72, 3,840.94 and 1,261.75

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Solution

The fourth proportional to 2,560.72, 3,840.94 and 1,261.75 is: 1,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.72 : 3,840.94 = 1,261.75 : x
  2. Step 2: Convert to fraction form
    2,560.72/3,840.94 = 1,261.75/x
  3. Step 3: Cross multiply
    2,560.72x = 3,840.94 × 1,261.75
  4. Step 4: Simplify right side
    2,560.72x = 4,846,306.05
  5. Step 5: Solve for x
    x = 4,846,306.05/2,560.72
  6. Step 6: Final answer
    x = 1,892.56

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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.