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Finding the Fourth Proportional to 2,944.72, 4,416.36 and 892.72

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Solution

The fourth proportional to 2,944.72, 4,416.36 and 892.72 is: 1,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.72 : 4,416.36 = 892.72 : x
  2. Step 2: Convert to fraction form
    2,944.72/4,416.36 = 892.72/x
  3. Step 3: Cross multiply
    2,944.72x = 4,416.36 × 892.72
  4. Step 4: Simplify right side
    2,944.72x = 3,942,572.90
  5. Step 5: Solve for x
    x = 3,942,572.90/2,944.72
  6. Step 6: Final answer
    x = 1,338.86

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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.