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Finding the Fourth Proportional to 4,064.85, 6,093.18 and 1,601.42

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Solution

The fourth proportional to 4,064.85, 6,093.18 and 1,601.42 is: 2,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.85 : 6,093.18 = 1,601.42 : x
  2. Step 2: Convert to fraction form
    4,064.85/6,093.18 = 1,601.42/x
  3. Step 3: Cross multiply
    4,064.85x = 6,093.18 × 1,601.42
  4. Step 4: Simplify right side
    4,064.85x = 9,757,709.85
  5. Step 5: Solve for x
    x = 9,757,709.85/4,064.85
  6. Step 6: Final answer
    x = 2,400.51

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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.