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Finding the Fourth Proportional to 2,162.19, 3,243.69 and 863.67

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Solution

The fourth proportional to 2,162.19, 3,243.69 and 863.67 is: 1,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.19 : 3,243.69 = 863.67 : x
  2. Step 2: Convert to fraction form
    2,162.19/3,243.69 = 863.67/x
  3. Step 3: Cross multiply
    2,162.19x = 3,243.69 × 863.67
  4. Step 4: Simplify right side
    2,162.19x = 2,801,477.74
  5. Step 5: Solve for x
    x = 2,801,477.74/2,162.19
  6. Step 6: Final answer
    x = 1,295.67

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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.