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Finding the Fourth Proportional to 2,675.22, 3,692.15 and 1,496.53

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Solution

The fourth proportional to 2,675.22, 3,692.15 and 1,496.53 is: 2,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.22 : 3,692.15 = 1,496.53 : x
  2. Step 2: Convert to fraction form
    2,675.22/3,692.15 = 1,496.53/x
  3. Step 3: Cross multiply
    2,675.22x = 3,692.15 × 1,496.53
  4. Step 4: Simplify right side
    2,675.22x = 5,525,413.24
  5. Step 5: Solve for x
    x = 5,525,413.24/2,675.22
  6. Step 6: Final answer
    x = 2,065.41

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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.