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Finding the Fourth Proportional to 1,912.21, 2,864.77 and 986.78

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Solution

The fourth proportional to 1,912.21, 2,864.77 and 986.78 is: 1,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.21 : 2,864.77 = 986.78 : x
  2. Step 2: Convert to fraction form
    1,912.21/2,864.77 = 986.78/x
  3. Step 3: Cross multiply
    1,912.21x = 2,864.77 × 986.78
  4. Step 4: Simplify right side
    1,912.21x = 2,826,902.44
  5. Step 5: Solve for x
    x = 2,826,902.44/1,912.21
  6. Step 6: Final answer
    x = 1,478.35

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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.