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Finding the Fourth Proportional to 3,096.54, 4,646.99 and 1,453.14

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Solution

The fourth proportional to 3,096.54, 4,646.99 and 1,453.14 is: 2,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.54 : 4,646.99 = 1,453.14 : x
  2. Step 2: Convert to fraction form
    3,096.54/4,646.99 = 1,453.14/x
  3. Step 3: Cross multiply
    3,096.54x = 4,646.99 × 1,453.14
  4. Step 4: Simplify right side
    3,096.54x = 6,752,727.05
  5. Step 5: Solve for x
    x = 6,752,727.05/3,096.54
  6. Step 6: Final answer
    x = 2,180.73

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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.