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Finding the Fourth Proportional to 2,198.04, 3,034.17 and 1,313.69

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Solution

The fourth proportional to 2,198.04, 3,034.17 and 1,313.69 is: 1,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.04 : 3,034.17 = 1,313.69 : x
  2. Step 2: Convert to fraction form
    2,198.04/3,034.17 = 1,313.69/x
  3. Step 3: Cross multiply
    2,198.04x = 3,034.17 × 1,313.69
  4. Step 4: Simplify right side
    2,198.04x = 3,985,943.62
  5. Step 5: Solve for x
    x = 3,985,943.62/2,198.04
  6. Step 6: Final answer
    x = 1,813.41

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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.