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Finding the Fourth Proportional to 1,846.50, 2,769.93 and 820.50

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Solution

The fourth proportional to 1,846.50, 2,769.93 and 820.50 is: 1,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.50 : 2,769.93 = 820.50 : x
  2. Step 2: Convert to fraction form
    1,846.50/2,769.93 = 820.50/x
  3. Step 3: Cross multiply
    1,846.50x = 2,769.93 × 820.50
  4. Step 4: Simplify right side
    1,846.50x = 2,272,727.57
  5. Step 5: Solve for x
    x = 2,272,727.57/1,846.50
  6. Step 6: Final answer
    x = 1,230.83

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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.