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Finding the Fourth Proportional to 2,096.32, 3,144.02 and 1,516.76

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Solution

The fourth proportional to 2,096.32, 3,144.02 and 1,516.76 is: 2,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.32 : 3,144.02 = 1,516.76 : x
  2. Step 2: Convert to fraction form
    2,096.32/3,144.02 = 1,516.76/x
  3. Step 3: Cross multiply
    2,096.32x = 3,144.02 × 1,516.76
  4. Step 4: Simplify right side
    2,096.32x = 4,768,723.78
  5. Step 5: Solve for x
    x = 4,768,723.78/2,096.32
  6. Step 6: Final answer
    x = 2,274.81

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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.