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Finding the Fourth Proportional to 3,096.98, 4,272.78 and 1,769.74

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Solution

The fourth proportional to 3,096.98, 4,272.78 and 1,769.74 is: 2,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.98 : 4,272.78 = 1,769.74 : x
  2. Step 2: Convert to fraction form
    3,096.98/4,272.78 = 1,769.74/x
  3. Step 3: Cross multiply
    3,096.98x = 4,272.78 × 1,769.74
  4. Step 4: Simplify right side
    3,096.98x = 7,561,717.65
  5. Step 5: Solve for x
    x = 7,561,717.65/3,096.98
  6. Step 6: Final answer
    x = 2,441.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.