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Finding the Fourth Proportional to 2,944.35, 4,416.25 and 996.57

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Solution

The fourth proportional to 2,944.35, 4,416.25 and 996.57 is: 1,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.35 : 4,416.25 = 996.57 : x
  2. Step 2: Convert to fraction form
    2,944.35/4,416.25 = 996.57/x
  3. Step 3: Cross multiply
    2,944.35x = 4,416.25 × 996.57
  4. Step 4: Simplify right side
    2,944.35x = 4,401,102.26
  5. Step 5: Solve for x
    x = 4,401,102.26/2,944.35
  6. Step 6: Final answer
    x = 1,494.76

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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.