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Finding the Fourth Proportional to 2,944.58, 4,414.13 and 995.43

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Solution

The fourth proportional to 2,944.58, 4,414.13 and 995.43 is: 1,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.58 : 4,414.13 = 995.43 : x
  2. Step 2: Convert to fraction form
    2,944.58/4,414.13 = 995.43/x
  3. Step 3: Cross multiply
    2,944.58x = 4,414.13 × 995.43
  4. Step 4: Simplify right side
    2,944.58x = 4,393,952.45
  5. Step 5: Solve for x
    x = 4,393,952.45/2,944.58
  6. Step 6: Final answer
    x = 1,492.22

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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.