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Finding the Fourth Proportional to 3,042.78, 4,198.94 and 1,698.42

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Solution

The fourth proportional to 3,042.78, 4,198.94 and 1,698.42 is: 2,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.78 : 4,198.94 = 1,698.42 : x
  2. Step 2: Convert to fraction form
    3,042.78/4,198.94 = 1,698.42/x
  3. Step 3: Cross multiply
    3,042.78x = 4,198.94 × 1,698.42
  4. Step 4: Simplify right side
    3,042.78x = 7,131,563.67
  5. Step 5: Solve for x
    x = 7,131,563.67/3,042.78
  6. Step 6: Final answer
    x = 2,343.77

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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.