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Finding the Fourth Proportional to 1,286.01, 1,924.70 and 1,067.85

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Solution

The fourth proportional to 1,286.01, 1,924.70 and 1,067.85 is: 1,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.01 : 1,924.70 = 1,067.85 : x
  2. Step 2: Convert to fraction form
    1,286.01/1,924.70 = 1,067.85/x
  3. Step 3: Cross multiply
    1,286.01x = 1,924.70 × 1,067.85
  4. Step 4: Simplify right side
    1,286.01x = 2,055,285.56
  5. Step 5: Solve for x
    x = 2,055,285.56/1,286.01
  6. Step 6: Final answer
    x = 1,598.19

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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.