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Finding the Fourth Proportional to 2,092.82, 3,139.74 and 966.56

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Solution

The fourth proportional to 2,092.82, 3,139.74 and 966.56 is: 1,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.82 : 3,139.74 = 966.56 : x
  2. Step 2: Convert to fraction form
    2,092.82/3,139.74 = 966.56/x
  3. Step 3: Cross multiply
    2,092.82x = 3,139.74 × 966.56
  4. Step 4: Simplify right side
    2,092.82x = 3,034,742.94
  5. Step 5: Solve for x
    x = 3,034,742.94/2,092.82
  6. Step 6: Final answer
    x = 1,450.07

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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.