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Finding the Fourth Proportional to 2,704.56, 4,059 and 1,061.88

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Solution

The fourth proportional to 2,704.56, 4,059 and 1,061.88 is: 1,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.56 : 4,059 = 1,061.88 : x
  2. Step 2: Convert to fraction form
    2,704.56/4,059 = 1,061.88/x
  3. Step 3: Cross multiply
    2,704.56x = 4,059 × 1,061.88
  4. Step 4: Simplify right side
    2,704.56x = 4,310,170.92
  5. Step 5: Solve for x
    x = 4,310,170.92/2,704.56
  6. Step 6: Final answer
    x = 1,593.67

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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.