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Finding the Fourth Proportional to 2,198.07, 3,297.33 and 554.63

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Solution

The fourth proportional to 2,198.07, 3,297.33 and 554.63 is: 831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.07 : 3,297.33 = 554.63 : x
  2. Step 2: Convert to fraction form
    2,198.07/3,297.33 = 554.63/x
  3. Step 3: Cross multiply
    2,198.07x = 3,297.33 × 554.63
  4. Step 4: Simplify right side
    2,198.07x = 1,828,781.65
  5. Step 5: Solve for x
    x = 1,828,781.65/2,198.07
  6. Step 6: Final answer
    x = 831.99

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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.