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Finding the Fourth Proportional to 1,996.83, 2,994.96 and 536.07

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Solution

The fourth proportional to 1,996.83, 2,994.96 and 536.07 is: 804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.83 : 2,994.96 = 536.07 : x
  2. Step 2: Convert to fraction form
    1,996.83/2,994.96 = 536.07/x
  3. Step 3: Cross multiply
    1,996.83x = 2,994.96 × 536.07
  4. Step 4: Simplify right side
    1,996.83x = 1,605,508.21
  5. Step 5: Solve for x
    x = 1,605,508.21/1,996.83
  6. Step 6: Final answer
    x = 804.03

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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.