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Finding the Fourth Proportional to 3,131.31, 4,321.31 and 1,805.07

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Solution

The fourth proportional to 3,131.31, 4,321.31 and 1,805.07 is: 2,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.31 : 4,321.31 = 1,805.07 : x
  2. Step 2: Convert to fraction form
    3,131.31/4,321.31 = 1,805.07/x
  3. Step 3: Cross multiply
    3,131.31x = 4,321.31 × 1,805.07
  4. Step 4: Simplify right side
    3,131.31x = 7,800,258.02
  5. Step 5: Solve for x
    x = 7,800,258.02/3,131.31
  6. Step 6: Final answer
    x = 2,491.05

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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.