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Finding the Fourth Proportional to 1,889.97, 2,832.33 and 1,427.37

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Solution

The fourth proportional to 1,889.97, 2,832.33 and 1,427.37 is: 2,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.97 : 2,832.33 = 1,427.37 : x
  2. Step 2: Convert to fraction form
    1,889.97/2,832.33 = 1,427.37/x
  3. Step 3: Cross multiply
    1,889.97x = 2,832.33 × 1,427.37
  4. Step 4: Simplify right side
    1,889.97x = 4,042,782.87
  5. Step 5: Solve for x
    x = 4,042,782.87/1,889.97
  6. Step 6: Final answer
    x = 2,139.07

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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.