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Finding the Fourth Proportional to 2,198.91, 3,295.47 and 899.67

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Solution

The fourth proportional to 2,198.91, 3,295.47 and 899.67 is: 1,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.91 : 3,295.47 = 899.67 : x
  2. Step 2: Convert to fraction form
    2,198.91/3,295.47 = 899.67/x
  3. Step 3: Cross multiply
    2,198.91x = 3,295.47 × 899.67
  4. Step 4: Simplify right side
    2,198.91x = 2,964,835.49
  5. Step 5: Solve for x
    x = 2,964,835.49/2,198.91
  6. Step 6: Final answer
    x = 1,348.32

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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.