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Finding the Fourth Proportional to 2,770.73, 3,818.10 and 2,736.24

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Solution

The fourth proportional to 2,770.73, 3,818.10 and 2,736.24 is: 3,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.73 : 3,818.10 = 2,736.24 : x
  2. Step 2: Convert to fraction form
    2,770.73/3,818.10 = 2,736.24/x
  3. Step 3: Cross multiply
    2,770.73x = 3,818.10 × 2,736.24
  4. Step 4: Simplify right side
    2,770.73x = 10,447,237.94
  5. Step 5: Solve for x
    x = 10,447,237.94/2,770.73
  6. Step 6: Final answer
    x = 3,770.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.