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Finding the Fourth Proportional to 3,096.91, 4,274.17 and 1,770.69

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Solution

The fourth proportional to 3,096.91, 4,274.17 and 1,770.69 is: 2,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.91 : 4,274.17 = 1,770.69 : x
  2. Step 2: Convert to fraction form
    3,096.91/4,274.17 = 1,770.69/x
  3. Step 3: Cross multiply
    3,096.91x = 4,274.17 × 1,770.69
  4. Step 4: Simplify right side
    3,096.91x = 7,568,225.65
  5. Step 5: Solve for x
    x = 7,568,225.65/3,096.91
  6. Step 6: Final answer
    x = 2,443.80

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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.