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Finding the Fourth Proportional to 2,735.76, 3,774.27 and 1,791.27

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Solution

The fourth proportional to 2,735.76, 3,774.27 and 1,791.27 is: 2,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.76 : 3,774.27 = 1,791.27 : x
  2. Step 2: Convert to fraction form
    2,735.76/3,774.27 = 1,791.27/x
  3. Step 3: Cross multiply
    2,735.76x = 3,774.27 × 1,791.27
  4. Step 4: Simplify right side
    2,735.76x = 6,760,736.62
  5. Step 5: Solve for x
    x = 6,760,736.62/2,735.76
  6. Step 6: Final answer
    x = 2,471.25

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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.