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Finding the Fourth Proportional to 2,944.29, 4,416.64 and 995.84

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Solution

The fourth proportional to 2,944.29, 4,416.64 and 995.84 is: 1,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.29 : 4,416.64 = 995.84 : x
  2. Step 2: Convert to fraction form
    2,944.29/4,416.64 = 995.84/x
  3. Step 3: Cross multiply
    2,944.29x = 4,416.64 × 995.84
  4. Step 4: Simplify right side
    2,944.29x = 4,398,242.20
  5. Step 5: Solve for x
    x = 4,398,242.20/2,944.29
  6. Step 6: Final answer
    x = 1,493.82

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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.