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Finding the Fourth Proportional to 2,028.44, 2,796.74 and 1,692.52

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Solution

The fourth proportional to 2,028.44, 2,796.74 and 1,692.52 is: 2,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.44 : 2,796.74 = 1,692.52 : x
  2. Step 2: Convert to fraction form
    2,028.44/2,796.74 = 1,692.52/x
  3. Step 3: Cross multiply
    2,028.44x = 2,796.74 × 1,692.52
  4. Step 4: Simplify right side
    2,028.44x = 4,733,538.38
  5. Step 5: Solve for x
    x = 4,733,538.38/2,028.44
  6. Step 6: Final answer
    x = 2,333.59

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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.