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Finding the Fourth Proportional to 3,047.74, 4,573.49 and 1,198.53

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Solution

The fourth proportional to 3,047.74, 4,573.49 and 1,198.53 is: 1,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.74 : 4,573.49 = 1,198.53 : x
  2. Step 2: Convert to fraction form
    3,047.74/4,573.49 = 1,198.53/x
  3. Step 3: Cross multiply
    3,047.74x = 4,573.49 × 1,198.53
  4. Step 4: Simplify right side
    3,047.74x = 5,481,464.97
  5. Step 5: Solve for x
    x = 5,481,464.97/3,047.74
  6. Step 6: Final answer
    x = 1,798.53

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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.