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Finding the Fourth Proportional to 2,944.84, 4,415.64 and 996.26

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Solution

The fourth proportional to 2,944.84, 4,415.64 and 996.26 is: 1,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.84 : 4,415.64 = 996.26 : x
  2. Step 2: Convert to fraction form
    2,944.84/4,415.64 = 996.26/x
  3. Step 3: Cross multiply
    2,944.84x = 4,415.64 × 996.26
  4. Step 4: Simplify right side
    2,944.84x = 4,399,125.51
  5. Step 5: Solve for x
    x = 4,399,125.51/2,944.84
  6. Step 6: Final answer
    x = 1,493.84

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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.