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Finding the Fourth Proportional to 3,131.73, 4,322.03 and 1,889.73

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Solution

The fourth proportional to 3,131.73, 4,322.03 and 1,889.73 is: 2,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.73 : 4,322.03 = 1,889.73 : x
  2. Step 2: Convert to fraction form
    3,131.73/4,322.03 = 1,889.73/x
  3. Step 3: Cross multiply
    3,131.73x = 4,322.03 × 1,889.73
  4. Step 4: Simplify right side
    3,131.73x = 8,167,460.30
  5. Step 5: Solve for x
    x = 8,167,460.30/3,131.73
  6. Step 6: Final answer
    x = 2,607.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.