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Finding the Fourth Proportional to 2,198.81, 3,034.30 and 1,204.13

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Solution

The fourth proportional to 2,198.81, 3,034.30 and 1,204.13 is: 1,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.81 : 3,034.30 = 1,204.13 : x
  2. Step 2: Convert to fraction form
    2,198.81/3,034.30 = 1,204.13/x
  3. Step 3: Cross multiply
    2,198.81x = 3,034.30 × 1,204.13
  4. Step 4: Simplify right side
    2,198.81x = 3,653,670.47
  5. Step 5: Solve for x
    x = 3,653,670.47/2,198.81
  6. Step 6: Final answer
    x = 1,661.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.