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Finding the Fourth Proportional to 3,230.37, 4,846.07 and 1,381.50

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Solution

The fourth proportional to 3,230.37, 4,846.07 and 1,381.50 is: 2,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.37 : 4,846.07 = 1,381.50 : x
  2. Step 2: Convert to fraction form
    3,230.37/4,846.07 = 1,381.50/x
  3. Step 3: Cross multiply
    3,230.37x = 4,846.07 × 1,381.50
  4. Step 4: Simplify right side
    3,230.37x = 6,694,849.16
  5. Step 5: Solve for x
    x = 6,694,849.16/3,230.37
  6. Step 6: Final answer
    x = 2,072.47

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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.