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Finding the Fourth Proportional to 1,994.82, 2,992.14 and 824.51

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Solution

The fourth proportional to 1,994.82, 2,992.14 and 824.51 is: 1,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.82 : 2,992.14 = 824.51 : x
  2. Step 2: Convert to fraction form
    1,994.82/2,992.14 = 824.51/x
  3. Step 3: Cross multiply
    1,994.82x = 2,992.14 × 824.51
  4. Step 4: Simplify right side
    1,994.82x = 2,467,037.48
  5. Step 5: Solve for x
    x = 2,467,037.48/1,994.82
  6. Step 6: Final answer
    x = 1,236.72

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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.