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Finding the Fourth Proportional to 1,994.93, 2,755.42 and 1,463.04

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Solution

The fourth proportional to 1,994.93, 2,755.42 and 1,463.04 is: 2,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.93 : 2,755.42 = 1,463.04 : x
  2. Step 2: Convert to fraction form
    1,994.93/2,755.42 = 1,463.04/x
  3. Step 3: Cross multiply
    1,994.93x = 2,755.42 × 1,463.04
  4. Step 4: Simplify right side
    1,994.93x = 4,031,289.68
  5. Step 5: Solve for x
    x = 4,031,289.68/1,994.93
  6. Step 6: Final answer
    x = 2,020.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.