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Finding the Fourth Proportional to 2,410.40, 3,611.93 and 1,791.20

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Solution

The fourth proportional to 2,410.40, 3,611.93 and 1,791.20 is: 2,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.40 : 3,611.93 = 1,791.20 : x
  2. Step 2: Convert to fraction form
    2,410.40/3,611.93 = 1,791.20/x
  3. Step 3: Cross multiply
    2,410.40x = 3,611.93 × 1,791.20
  4. Step 4: Simplify right side
    2,410.40x = 6,469,662.00
  5. Step 5: Solve for x
    x = 6,469,662.00/2,410.40
  6. Step 6: Final answer
    x = 2,684.07

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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.