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Finding the Fourth Proportional to 4,523.50, 6,785.18 and 1,601.09

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Solution

The fourth proportional to 4,523.50, 6,785.18 and 1,601.09 is: 2,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.50 : 6,785.18 = 1,601.09 : x
  2. Step 2: Convert to fraction form
    4,523.50/6,785.18 = 1,601.09/x
  3. Step 3: Cross multiply
    4,523.50x = 6,785.18 × 1,601.09
  4. Step 4: Simplify right side
    4,523.50x = 10,863,683.85
  5. Step 5: Solve for x
    x = 10,863,683.85/4,523.50
  6. Step 6: Final answer
    x = 2,401.61

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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.