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Finding the Fourth Proportional to 2,944.37, 4,414.12 and 2,164.34

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Solution

The fourth proportional to 2,944.37, 4,414.12 and 2,164.34 is: 3,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.37 : 4,414.12 = 2,164.34 : x
  2. Step 2: Convert to fraction form
    2,944.37/4,414.12 = 2,164.34/x
  3. Step 3: Cross multiply
    2,944.37x = 4,414.12 × 2,164.34
  4. Step 4: Simplify right side
    2,944.37x = 9,553,643.36
  5. Step 5: Solve for x
    x = 9,553,643.36/2,944.37
  6. Step 6: Final answer
    x = 3,244.72

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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.