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Finding the Fourth Proportional to 1,269.40, 1,906.85 and 1,074.79

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Solution

The fourth proportional to 1,269.40, 1,906.85 and 1,074.79 is: 1,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.40 : 1,906.85 = 1,074.79 : x
  2. Step 2: Convert to fraction form
    1,269.40/1,906.85 = 1,074.79/x
  3. Step 3: Cross multiply
    1,269.40x = 1,906.85 × 1,074.79
  4. Step 4: Simplify right side
    1,269.40x = 2,049,463.31
  5. Step 5: Solve for x
    x = 2,049,463.31/1,269.40
  6. Step 6: Final answer
    x = 1,614.51

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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.