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Finding the Fourth Proportional to 2,092.14, 3,139.06 and 996.20

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Solution

The fourth proportional to 2,092.14, 3,139.06 and 996.20 is: 1,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.14 : 3,139.06 = 996.20 : x
  2. Step 2: Convert to fraction form
    2,092.14/3,139.06 = 996.20/x
  3. Step 3: Cross multiply
    2,092.14x = 3,139.06 × 996.20
  4. Step 4: Simplify right side
    2,092.14x = 3,127,131.57
  5. Step 5: Solve for x
    x = 3,127,131.57/2,092.14
  6. Step 6: Final answer
    x = 1,494.70

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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.