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Finding the Fourth Proportional to 2,940.56, 4,410.81 and 749.27

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Solution

The fourth proportional to 2,940.56, 4,410.81 and 749.27 is: 1,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.56 : 4,410.81 = 749.27 : x
  2. Step 2: Convert to fraction form
    2,940.56/4,410.81 = 749.27/x
  3. Step 3: Cross multiply
    2,940.56x = 4,410.81 × 749.27
  4. Step 4: Simplify right side
    2,940.56x = 3,304,887.61
  5. Step 5: Solve for x
    x = 3,304,887.61/2,940.56
  6. Step 6: Final answer
    x = 1,123.90

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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.