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Finding the Fourth Proportional to 2,733.50, 4,100.25 and 681.50

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Solution

The fourth proportional to 2,733.50, 4,100.25 and 681.50 is: 1,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.50 : 4,100.25 = 681.50 : x
  2. Step 2: Convert to fraction form
    2,733.50/4,100.25 = 681.50/x
  3. Step 3: Cross multiply
    2,733.50x = 4,100.25 × 681.50
  4. Step 4: Simplify right side
    2,733.50x = 2,794,320.38
  5. Step 5: Solve for x
    x = 2,794,320.38/2,733.50
  6. Step 6: Final answer
    x = 1,022.25

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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.