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Finding the Fourth Proportional to 2,131.00, 3,187.24 and 1,251.41

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Solution

The fourth proportional to 2,131.00, 3,187.24 and 1,251.41 is: 1,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.00 : 3,187.24 = 1,251.41 : x
  2. Step 2: Convert to fraction form
    2,131.00/3,187.24 = 1,251.41/x
  3. Step 3: Cross multiply
    2,131.00x = 3,187.24 × 1,251.41
  4. Step 4: Simplify right side
    2,131.00x = 3,988,524.94
  5. Step 5: Solve for x
    x = 3,988,524.94/2,131.00
  6. Step 6: Final answer
    x = 1,871.67

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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.