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Finding the Fourth Proportional to 2,944.27, 4,414.74 and 995.41

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Solution

The fourth proportional to 2,944.27, 4,414.74 and 995.41 is: 1,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.27 : 4,414.74 = 995.41 : x
  2. Step 2: Convert to fraction form
    2,944.27/4,414.74 = 995.41/x
  3. Step 3: Cross multiply
    2,944.27x = 4,414.74 × 995.41
  4. Step 4: Simplify right side
    2,944.27x = 4,394,476.34
  5. Step 5: Solve for x
    x = 4,394,476.34/2,944.27
  6. Step 6: Final answer
    x = 1,492.55

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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.