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Finding the Fourth Proportional to 1,994.38, 2,991.39 and 824.05

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Solution

The fourth proportional to 1,994.38, 2,991.39 and 824.05 is: 1,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.38 : 2,991.39 = 824.05 : x
  2. Step 2: Convert to fraction form
    1,994.38/2,991.39 = 824.05/x
  3. Step 3: Cross multiply
    1,994.38x = 2,991.39 × 824.05
  4. Step 4: Simplify right side
    1,994.38x = 2,465,054.93
  5. Step 5: Solve for x
    x = 2,465,054.93/1,994.38
  6. Step 6: Final answer
    x = 1,236.00

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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.