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Finding the Fourth Proportional to 1,910.21, 2,864.36 and 677.43

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Solution

The fourth proportional to 1,910.21, 2,864.36 and 677.43 is: 1,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.21 : 2,864.36 = 677.43 : x
  2. Step 2: Convert to fraction form
    1,910.21/2,864.36 = 677.43/x
  3. Step 3: Cross multiply
    1,910.21x = 2,864.36 × 677.43
  4. Step 4: Simplify right side
    1,910.21x = 1,940,405.09
  5. Step 5: Solve for x
    x = 1,940,405.09/1,910.21
  6. Step 6: Final answer
    x = 1,015.81

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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.