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Finding the Fourth Proportional to 1,959, 2,942.14 and 1,796.39

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Solution

The fourth proportional to 1,959, 2,942.14 and 1,796.39 is: 2,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959 : 2,942.14 = 1,796.39 : x
  2. Step 2: Convert to fraction form
    1,959/2,942.14 = 1,796.39/x
  3. Step 3: Cross multiply
    1,959x = 2,942.14 × 1,796.39
  4. Step 4: Simplify right side
    1,959x = 5,285,230.87
  5. Step 5: Solve for x
    x = 5,285,230.87/1,959
  6. Step 6: Final answer
    x = 2,697.92

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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.