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Finding the Fourth Proportional to 2,198.35, 3,298.75 and 900.73

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Solution

The fourth proportional to 2,198.35, 3,298.75 and 900.73 is: 1,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.35 : 3,298.75 = 900.73 : x
  2. Step 2: Convert to fraction form
    2,198.35/3,298.75 = 900.73/x
  3. Step 3: Cross multiply
    2,198.35x = 3,298.75 × 900.73
  4. Step 4: Simplify right side
    2,198.35x = 2,971,283.09
  5. Step 5: Solve for x
    x = 2,971,283.09/2,198.35
  6. Step 6: Final answer
    x = 1,351.60

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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.