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Finding the Fourth Proportional to 4,380.50, 6,571.78 and 1,260.43

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Solution

The fourth proportional to 4,380.50, 6,571.78 and 1,260.43 is: 1,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.50 : 6,571.78 = 1,260.43 : x
  2. Step 2: Convert to fraction form
    4,380.50/6,571.78 = 1,260.43/x
  3. Step 3: Cross multiply
    4,380.50x = 6,571.78 × 1,260.43
  4. Step 4: Simplify right side
    4,380.50x = 8,283,249.08
  5. Step 5: Solve for x
    x = 8,283,249.08/4,380.50
  6. Step 6: Final answer
    x = 1,890.94

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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.