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Finding the Fourth Proportional to 3,193.72, 4,786.32 and 1,546.98

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Solution

The fourth proportional to 3,193.72, 4,786.32 and 1,546.98 is: 2,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.72 : 4,786.32 = 1,546.98 : x
  2. Step 2: Convert to fraction form
    3,193.72/4,786.32 = 1,546.98/x
  3. Step 3: Cross multiply
    3,193.72x = 4,786.32 × 1,546.98
  4. Step 4: Simplify right side
    3,193.72x = 7,404,341.31
  5. Step 5: Solve for x
    x = 7,404,341.31/3,193.72
  6. Step 6: Final answer
    x = 2,318.41

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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.