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Finding the Fourth Proportional to 2,092.06, 3,139.62 and 996.40

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Solution

The fourth proportional to 2,092.06, 3,139.62 and 996.40 is: 1,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.06 : 3,139.62 = 996.40 : x
  2. Step 2: Convert to fraction form
    2,092.06/3,139.62 = 996.40/x
  3. Step 3: Cross multiply
    2,092.06x = 3,139.62 × 996.40
  4. Step 4: Simplify right side
    2,092.06x = 3,128,317.37
  5. Step 5: Solve for x
    x = 3,128,317.37/2,092.06
  6. Step 6: Final answer
    x = 1,495.33

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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.