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Finding the Fourth Proportional to 1,994.36, 2,991.62 and 761.86

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Solution

The fourth proportional to 1,994.36, 2,991.62 and 761.86 is: 1,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.36 : 2,991.62 = 761.86 : x
  2. Step 2: Convert to fraction form
    1,994.36/2,991.62 = 761.86/x
  3. Step 3: Cross multiply
    1,994.36x = 2,991.62 × 761.86
  4. Step 4: Simplify right side
    1,994.36x = 2,279,180.14
  5. Step 5: Solve for x
    x = 2,279,180.14/1,994.36
  6. Step 6: Final answer
    x = 1,142.82

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