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Finding the Fourth Proportional to 2,019.21, 2,786.73 and 1,134.99

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Solution

The fourth proportional to 2,019.21, 2,786.73 and 1,134.99 is: 1,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.21 : 2,786.73 = 1,134.99 : x
  2. Step 2: Convert to fraction form
    2,019.21/2,786.73 = 1,134.99/x
  3. Step 3: Cross multiply
    2,019.21x = 2,786.73 × 1,134.99
  4. Step 4: Simplify right side
    2,019.21x = 3,162,906.43
  5. Step 5: Solve for x
    x = 3,162,906.43/2,019.21
  6. Step 6: Final answer
    x = 1,566.41

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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.