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Finding the Fourth Proportional to 2,853.44, 3,937.64 and 1,611.44

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Solution

The fourth proportional to 2,853.44, 3,937.64 and 1,611.44 is: 2,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.44 : 3,937.64 = 1,611.44 : x
  2. Step 2: Convert to fraction form
    2,853.44/3,937.64 = 1,611.44/x
  3. Step 3: Cross multiply
    2,853.44x = 3,937.64 × 1,611.44
  4. Step 4: Simplify right side
    2,853.44x = 6,345,270.60
  5. Step 5: Solve for x
    x = 6,345,270.60/2,853.44
  6. Step 6: Final answer
    x = 2,223.73

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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.