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Finding the Fourth Proportional to 1,794.76, 2,687.24 and 927.25

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Solution

The fourth proportional to 1,794.76, 2,687.24 and 927.25 is: 1,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.76 : 2,687.24 = 927.25 : x
  2. Step 2: Convert to fraction form
    1,794.76/2,687.24 = 927.25/x
  3. Step 3: Cross multiply
    1,794.76x = 2,687.24 × 927.25
  4. Step 4: Simplify right side
    1,794.76x = 2,491,738.89
  5. Step 5: Solve for x
    x = 2,491,738.89/1,794.76
  6. Step 6: Final answer
    x = 1,388.34

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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.