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Finding the Fourth Proportional to 3,316.62, 4,576.78 and 1,824.69

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Solution

The fourth proportional to 3,316.62, 4,576.78 and 1,824.69 is: 2,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.62 : 4,576.78 = 1,824.69 : x
  2. Step 2: Convert to fraction form
    3,316.62/4,576.78 = 1,824.69/x
  3. Step 3: Cross multiply
    3,316.62x = 4,576.78 × 1,824.69
  4. Step 4: Simplify right side
    3,316.62x = 8,351,224.14
  5. Step 5: Solve for x
    x = 8,351,224.14/3,316.62
  6. Step 6: Final answer
    x = 2,517.99

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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.