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Finding the Fourth Proportional to 2,092.83, 3,139.85 and 997.21

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Solution

The fourth proportional to 2,092.83, 3,139.85 and 997.21 is: 1,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.83 : 3,139.85 = 997.21 : x
  2. Step 2: Convert to fraction form
    2,092.83/3,139.85 = 997.21/x
  3. Step 3: Cross multiply
    2,092.83x = 3,139.85 × 997.21
  4. Step 4: Simplify right side
    2,092.83x = 3,131,089.82
  5. Step 5: Solve for x
    x = 3,131,089.82/2,092.83
  6. Step 6: Final answer
    x = 1,496.10

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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.