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Finding the Fourth Proportional to 2,096.74, 3,144.02 and 1,366.66

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Solution

The fourth proportional to 2,096.74, 3,144.02 and 1,366.66 is: 2,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.74 : 3,144.02 = 1,366.66 : x
  2. Step 2: Convert to fraction form
    2,096.74/3,144.02 = 1,366.66/x
  3. Step 3: Cross multiply
    2,096.74x = 3,144.02 × 1,366.66
  4. Step 4: Simplify right side
    2,096.74x = 4,296,806.37
  5. Step 5: Solve for x
    x = 4,296,806.37/2,096.74
  6. Step 6: Final answer
    x = 2,049.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.