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Finding the Fourth Proportional to 2,198.30, 3,298.07 and 900.70

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Solution

The fourth proportional to 2,198.30, 3,298.07 and 900.70 is: 1,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.30 : 3,298.07 = 900.70 : x
  2. Step 2: Convert to fraction form
    2,198.30/3,298.07 = 900.70/x
  3. Step 3: Cross multiply
    2,198.30x = 3,298.07 × 900.70
  4. Step 4: Simplify right side
    2,198.30x = 2,970,571.65
  5. Step 5: Solve for x
    x = 2,970,571.65/2,198.30
  6. Step 6: Final answer
    x = 1,351.30

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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.