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Finding the Fourth Proportional to 1,994.12, 2,991.19 and 824.79

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Solution

The fourth proportional to 1,994.12, 2,991.19 and 824.79 is: 1,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.12 : 2,991.19 = 824.79 : x
  2. Step 2: Convert to fraction form
    1,994.12/2,991.19 = 824.79/x
  3. Step 3: Cross multiply
    1,994.12x = 2,991.19 × 824.79
  4. Step 4: Simplify right side
    1,994.12x = 2,467,101.54
  5. Step 5: Solve for x
    x = 2,467,101.54/1,994.12
  6. Step 6: Final answer
    x = 1,237.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.