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Finding the Fourth Proportional to 4,270.50, 6,406.83 and 1,192.50

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Solution

The fourth proportional to 4,270.50, 6,406.83 and 1,192.50 is: 1,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.50 : 6,406.83 = 1,192.50 : x
  2. Step 2: Convert to fraction form
    4,270.50/6,406.83 = 1,192.50/x
  3. Step 3: Cross multiply
    4,270.50x = 6,406.83 × 1,192.50
  4. Step 4: Simplify right side
    4,270.50x = 7,640,144.78
  5. Step 5: Solve for x
    x = 7,640,144.78/4,270.50
  6. Step 6: Final answer
    x = 1,789.05

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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.