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Finding the Fourth Proportional to 2,336.42, 3,504.22 and 855.56

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Solution

The fourth proportional to 2,336.42, 3,504.22 and 855.56 is: 1,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.42 : 3,504.22 = 855.56 : x
  2. Step 2: Convert to fraction form
    2,336.42/3,504.22 = 855.56/x
  3. Step 3: Cross multiply
    2,336.42x = 3,504.22 × 855.56
  4. Step 4: Simplify right side
    2,336.42x = 2,998,079.49
  5. Step 5: Solve for x
    x = 2,998,079.49/2,336.42
  6. Step 6: Final answer
    x = 1,283.19

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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.