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Finding the Fourth Proportional to 2,736.94, 4,105.34 and 762.56

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Solution

The fourth proportional to 2,736.94, 4,105.34 and 762.56 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.94 : 4,105.34 = 762.56 : x
  2. Step 2: Convert to fraction form
    2,736.94/4,105.34 = 762.56/x
  3. Step 3: Cross multiply
    2,736.94x = 4,105.34 × 762.56
  4. Step 4: Simplify right side
    2,736.94x = 3,130,568.07
  5. Step 5: Solve for x
    x = 3,130,568.07/2,736.94
  6. Step 6: Final answer
    x = 1,143.82

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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.