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Finding the Fourth Proportional to 3,096.36, 4,272.62 and 1,769.99

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Solution

The fourth proportional to 3,096.36, 4,272.62 and 1,769.99 is: 2,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.36 : 4,272.62 = 1,769.99 : x
  2. Step 2: Convert to fraction form
    3,096.36/4,272.62 = 1,769.99/x
  3. Step 3: Cross multiply
    3,096.36x = 4,272.62 × 1,769.99
  4. Step 4: Simplify right side
    3,096.36x = 7,562,464.46
  5. Step 5: Solve for x
    x = 7,562,464.46/3,096.36
  6. Step 6: Final answer
    x = 2,442.37

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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.