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Finding the Fourth Proportional to 3,190.50, 4,786.43 and 999.05

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Solution

The fourth proportional to 3,190.50, 4,786.43 and 999.05 is: 1,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.50 : 4,786.43 = 999.05 : x
  2. Step 2: Convert to fraction form
    3,190.50/4,786.43 = 999.05/x
  3. Step 3: Cross multiply
    3,190.50x = 4,786.43 × 999.05
  4. Step 4: Simplify right side
    3,190.50x = 4,781,853.96
  5. Step 5: Solve for x
    x = 4,781,853.96/3,190.50
  6. Step 6: Final answer
    x = 1,498.78

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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.