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Finding the Fourth Proportional to 1,692.09, 2,538.41 and 767.48

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Solution

The fourth proportional to 1,692.09, 2,538.41 and 767.48 is: 1,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.09 : 2,538.41 = 767.48 : x
  2. Step 2: Convert to fraction form
    1,692.09/2,538.41 = 767.48/x
  3. Step 3: Cross multiply
    1,692.09x = 2,538.41 × 767.48
  4. Step 4: Simplify right side
    1,692.09x = 1,948,162.38
  5. Step 5: Solve for x
    x = 1,948,162.38/1,692.09
  6. Step 6: Final answer
    x = 1,151.33

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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.