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Finding the Fourth Proportional to 2,092.44, 2,882.94 and 1,392.60

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Solution

The fourth proportional to 2,092.44, 2,882.94 and 1,392.60 is: 1,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.44 : 2,882.94 = 1,392.60 : x
  2. Step 2: Convert to fraction form
    2,092.44/2,882.94 = 1,392.60/x
  3. Step 3: Cross multiply
    2,092.44x = 2,882.94 × 1,392.60
  4. Step 4: Simplify right side
    2,092.44x = 4,014,782.24
  5. Step 5: Solve for x
    x = 4,014,782.24/2,092.44
  6. Step 6: Final answer
    x = 1,918.71

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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.