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Finding the Fourth Proportional to 1,692.22, 2,321.91 and 1,599.34

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Solution

The fourth proportional to 1,692.22, 2,321.91 and 1,599.34 is: 2,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.22 : 2,321.91 = 1,599.34 : x
  2. Step 2: Convert to fraction form
    1,692.22/2,321.91 = 1,599.34/x
  3. Step 3: Cross multiply
    1,692.22x = 2,321.91 × 1,599.34
  4. Step 4: Simplify right side
    1,692.22x = 3,713,523.54
  5. Step 5: Solve for x
    x = 3,713,523.54/1,692.22
  6. Step 6: Final answer
    x = 2,194.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.