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Finding the Fourth Proportional to 1,274.75, 1,912.32 and 1,054.09

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Solution

The fourth proportional to 1,274.75, 1,912.32 and 1,054.09 is: 1,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.75 : 1,912.32 = 1,054.09 : x
  2. Step 2: Convert to fraction form
    1,274.75/1,912.32 = 1,054.09/x
  3. Step 3: Cross multiply
    1,274.75x = 1,912.32 × 1,054.09
  4. Step 4: Simplify right side
    1,274.75x = 2,015,759.78
  5. Step 5: Solve for x
    x = 2,015,759.78/1,274.75
  6. Step 6: Final answer
    x = 1,581.30

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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.