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Finding the Fourth Proportional to 2,246.11, 3,367.31 and 858.67

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Solution

The fourth proportional to 2,246.11, 3,367.31 and 858.67 is: 1,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.11 : 3,367.31 = 858.67 : x
  2. Step 2: Convert to fraction form
    2,246.11/3,367.31 = 858.67/x
  3. Step 3: Cross multiply
    2,246.11x = 3,367.31 × 858.67
  4. Step 4: Simplify right side
    2,246.11x = 2,891,395.37
  5. Step 5: Solve for x
    x = 2,891,395.37/2,246.11
  6. Step 6: Final answer
    x = 1,287.29

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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.