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Finding the Fourth Proportional to 3,097.70, 4,273.53 and 2,047.94

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Solution

The fourth proportional to 3,097.70, 4,273.53 and 2,047.94 is: 2,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.70 : 4,273.53 = 2,047.94 : x
  2. Step 2: Convert to fraction form
    3,097.70/4,273.53 = 2,047.94/x
  3. Step 3: Cross multiply
    3,097.70x = 4,273.53 × 2,047.94
  4. Step 4: Simplify right side
    3,097.70x = 8,751,933.03
  5. Step 5: Solve for x
    x = 8,751,933.03/3,097.70
  6. Step 6: Final answer
    x = 2,825.30

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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.