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Finding the Fourth Proportional to 1,336.62, 1,843.14 and 1,150.74

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Solution

The fourth proportional to 1,336.62, 1,843.14 and 1,150.74 is: 1,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.62 : 1,843.14 = 1,150.74 : x
  2. Step 2: Convert to fraction form
    1,336.62/1,843.14 = 1,150.74/x
  3. Step 3: Cross multiply
    1,336.62x = 1,843.14 × 1,150.74
  4. Step 4: Simplify right side
    1,336.62x = 2,120,974.92
  5. Step 5: Solve for x
    x = 2,120,974.92/1,336.62
  6. Step 6: Final answer
    x = 1,586.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.