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Finding the Fourth Proportional to 3,072.74, 4,610.52 and 2,096.82

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Solution

The fourth proportional to 3,072.74, 4,610.52 and 2,096.82 is: 3,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.74 : 4,610.52 = 2,096.82 : x
  2. Step 2: Convert to fraction form
    3,072.74/4,610.52 = 2,096.82/x
  3. Step 3: Cross multiply
    3,072.74x = 4,610.52 × 2,096.82
  4. Step 4: Simplify right side
    3,072.74x = 9,667,430.55
  5. Step 5: Solve for x
    x = 9,667,430.55/3,072.74
  6. Step 6: Final answer
    x = 3,146.20

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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.