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Finding the Fourth Proportional to 1,657.44, 2,482.56 and 1,611.36

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Solution

The fourth proportional to 1,657.44, 2,482.56 and 1,611.36 is: 2,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.44 : 2,482.56 = 1,611.36 : x
  2. Step 2: Convert to fraction form
    1,657.44/2,482.56 = 1,611.36/x
  3. Step 3: Cross multiply
    1,657.44x = 2,482.56 × 1,611.36
  4. Step 4: Simplify right side
    1,657.44x = 4,000,297.88
  5. Step 5: Solve for x
    x = 4,000,297.88/1,657.44
  6. Step 6: Final answer
    x = 2,413.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.