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Finding the Fourth Proportional to 1,889.43, 2,830.46 and 1,238.19

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Solution

The fourth proportional to 1,889.43, 2,830.46 and 1,238.19 is: 1,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.43 : 2,830.46 = 1,238.19 : x
  2. Step 2: Convert to fraction form
    1,889.43/2,830.46 = 1,238.19/x
  3. Step 3: Cross multiply
    1,889.43x = 2,830.46 × 1,238.19
  4. Step 4: Simplify right side
    1,889.43x = 3,504,647.27
  5. Step 5: Solve for x
    x = 3,504,647.27/1,889.43
  6. Step 6: Final answer
    x = 1,854.87

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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.