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Finding the Fourth Proportional to 2,198.26, 3,297.13 and 554.67

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Solution

The fourth proportional to 2,198.26, 3,297.13 and 554.67 is: 831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.26 : 3,297.13 = 554.67 : x
  2. Step 2: Convert to fraction form
    2,198.26/3,297.13 = 554.67/x
  3. Step 3: Cross multiply
    2,198.26x = 3,297.13 × 554.67
  4. Step 4: Simplify right side
    2,198.26x = 1,828,819.10
  5. Step 5: Solve for x
    x = 1,828,819.10/2,198.26
  6. Step 6: Final answer
    x = 831.94

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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.