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Finding the Fourth Proportional to 1,692.17, 2,334.47 and 1,194.73

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Solution

The fourth proportional to 1,692.17, 2,334.47 and 1,194.73 is: 1,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.17 : 2,334.47 = 1,194.73 : x
  2. Step 2: Convert to fraction form
    1,692.17/2,334.47 = 1,194.73/x
  3. Step 3: Cross multiply
    1,692.17x = 2,334.47 × 1,194.73
  4. Step 4: Simplify right side
    1,692.17x = 2,789,055.37
  5. Step 5: Solve for x
    x = 2,789,055.37/1,692.17
  6. Step 6: Final answer
    x = 1,648.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.