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Finding the Fourth Proportional to 1,692.36, 2,536.50 and 1,198.01

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Solution

The fourth proportional to 1,692.36, 2,536.50 and 1,198.01 is: 1,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.36 : 2,536.50 = 1,198.01 : x
  2. Step 2: Convert to fraction form
    1,692.36/2,536.50 = 1,198.01/x
  3. Step 3: Cross multiply
    1,692.36x = 2,536.50 × 1,198.01
  4. Step 4: Simplify right side
    1,692.36x = 3,038,739.68
  5. Step 5: Solve for x
    x = 3,038,739.68/1,692.36
  6. Step 6: Final answer
    x = 1,795.56

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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.