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Finding the Fourth Proportional to 1,994.20, 2,987.82 and 1,299.76

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Solution

The fourth proportional to 1,994.20, 2,987.82 and 1,299.76 is: 1,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.20 : 2,987.82 = 1,299.76 : x
  2. Step 2: Convert to fraction form
    1,994.20/2,987.82 = 1,299.76/x
  3. Step 3: Cross multiply
    1,994.20x = 2,987.82 × 1,299.76
  4. Step 4: Simplify right side
    1,994.20x = 3,883,448.92
  5. Step 5: Solve for x
    x = 3,883,448.92/1,994.20
  6. Step 6: Final answer
    x = 1,947.37

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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.