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Finding the Fourth Proportional to 1,692.36, 2,351.57 and 1,674.36

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Solution

The fourth proportional to 1,692.36, 2,351.57 and 1,674.36 is: 2,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.36 : 2,351.57 = 1,674.36 : x
  2. Step 2: Convert to fraction form
    1,692.36/2,351.57 = 1,674.36/x
  3. Step 3: Cross multiply
    1,692.36x = 2,351.57 × 1,674.36
  4. Step 4: Simplify right side
    1,692.36x = 3,937,374.75
  5. Step 5: Solve for x
    x = 3,937,374.75/1,692.36
  6. Step 6: Final answer
    x = 2,326.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.