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Finding the Fourth Proportional to 2,675.35, 3,692.07 and 1,496.41

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Solution

The fourth proportional to 2,675.35, 3,692.07 and 1,496.41 is: 2,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.35 : 3,692.07 = 1,496.41 : x
  2. Step 2: Convert to fraction form
    2,675.35/3,692.07 = 1,496.41/x
  3. Step 3: Cross multiply
    2,675.35x = 3,692.07 × 1,496.41
  4. Step 4: Simplify right side
    2,675.35x = 5,524,850.47
  5. Step 5: Solve for x
    x = 5,524,850.47/2,675.35
  6. Step 6: Final answer
    x = 2,065.09

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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.