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Finding the Fourth Proportional to 2,944.48, 4,417.20 and 892

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Solution

The fourth proportional to 2,944.48, 4,417.20 and 892 is: 1,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.48 : 4,417.20 = 892 : x
  2. Step 2: Convert to fraction form
    2,944.48/4,417.20 = 892/x
  3. Step 3: Cross multiply
    2,944.48x = 4,417.20 × 892
  4. Step 4: Simplify right side
    2,944.48x = 3,940,142.40
  5. Step 5: Solve for x
    x = 3,940,142.40/2,944.48
  6. Step 6: Final answer
    x = 1,338.15

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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.