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Finding the Fourth Proportional to 2,092.37, 3,138.95 and 921.92

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Solution

The fourth proportional to 2,092.37, 3,138.95 and 921.92 is: 1,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.37 : 3,138.95 = 921.92 : x
  2. Step 2: Convert to fraction form
    2,092.37/3,138.95 = 921.92/x
  3. Step 3: Cross multiply
    2,092.37x = 3,138.95 × 921.92
  4. Step 4: Simplify right side
    2,092.37x = 2,893,847.39
  5. Step 5: Solve for x
    x = 2,893,847.39/2,092.37
  6. Step 6: Final answer
    x = 1,383.05

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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.