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Finding the Fourth Proportional to 2,733.78, 4,100.64 and 681.78

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Solution

The fourth proportional to 2,733.78, 4,100.64 and 681.78 is: 1,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.78 : 4,100.64 = 681.78 : x
  2. Step 2: Convert to fraction form
    2,733.78/4,100.64 = 681.78/x
  3. Step 3: Cross multiply
    2,733.78x = 4,100.64 × 681.78
  4. Step 4: Simplify right side
    2,733.78x = 2,795,734.34
  5. Step 5: Solve for x
    x = 2,795,734.34/2,733.78
  6. Step 6: Final answer
    x = 1,022.66

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1.5x scale

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.