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Finding the Fourth Proportional to 2,313.05, 3,469.23 and 851.87

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Solution

The fourth proportional to 2,313.05, 3,469.23 and 851.87 is: 1,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.05 : 3,469.23 = 851.87 : x
  2. Step 2: Convert to fraction form
    2,313.05/3,469.23 = 851.87/x
  3. Step 3: Cross multiply
    2,313.05x = 3,469.23 × 851.87
  4. Step 4: Simplify right side
    2,313.05x = 2,955,315.61
  5. Step 5: Solve for x
    x = 2,955,315.61/2,313.05
  6. Step 6: Final answer
    x = 1,277.67

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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.