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Finding the Fourth Proportional to 3,042.56, 4,198.74 and 1,645.31

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Solution

The fourth proportional to 3,042.56, 4,198.74 and 1,645.31 is: 2,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.56 : 4,198.74 = 1,645.31 : x
  2. Step 2: Convert to fraction form
    3,042.56/4,198.74 = 1,645.31/x
  3. Step 3: Cross multiply
    3,042.56x = 4,198.74 × 1,645.31
  4. Step 4: Simplify right side
    3,042.56x = 6,908,233.24
  5. Step 5: Solve for x
    x = 6,908,233.24/3,042.56
  6. Step 6: Final answer
    x = 2,270.53

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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.