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Finding the Fourth Proportional to 2,198.06, 3,296.96 and 554.51

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Solution

The fourth proportional to 2,198.06, 3,296.96 and 554.51 is: 831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.06 : 3,296.96 = 554.51 : x
  2. Step 2: Convert to fraction form
    2,198.06/3,296.96 = 554.51/x
  3. Step 3: Cross multiply
    2,198.06x = 3,296.96 × 554.51
  4. Step 4: Simplify right side
    2,198.06x = 1,828,189.41
  5. Step 5: Solve for x
    x = 1,828,189.41/2,198.06
  6. Step 6: Final answer
    x = 831.73

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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.