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Finding the Fourth Proportional to 1,958.87, 2,930.89 and 1,208.56

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Solution

The fourth proportional to 1,958.87, 2,930.89 and 1,208.56 is: 1,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.87 : 2,930.89 = 1,208.56 : x
  2. Step 2: Convert to fraction form
    1,958.87/2,930.89 = 1,208.56/x
  3. Step 3: Cross multiply
    1,958.87x = 2,930.89 × 1,208.56
  4. Step 4: Simplify right side
    1,958.87x = 3,542,162.78
  5. Step 5: Solve for x
    x = 3,542,162.78/1,958.87
  6. Step 6: Final answer
    x = 1,808.26

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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.