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Finding the Fourth Proportional to 2,092.83, 3,137.62 and 1,213.98

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Solution

The fourth proportional to 2,092.83, 3,137.62 and 1,213.98 is: 1,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.83 : 3,137.62 = 1,213.98 : x
  2. Step 2: Convert to fraction form
    2,092.83/3,137.62 = 1,213.98/x
  3. Step 3: Cross multiply
    2,092.83x = 3,137.62 × 1,213.98
  4. Step 4: Simplify right side
    2,092.83x = 3,809,007.93
  5. Step 5: Solve for x
    x = 3,809,007.93/2,092.83
  6. Step 6: Final answer
    x = 1,820.03

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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.