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Finding the Fourth Proportional to 1,716.57, 2,584.22 and 1,172.19

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Solution

The fourth proportional to 1,716.57, 2,584.22 and 1,172.19 is: 1,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.57 : 2,584.22 = 1,172.19 : x
  2. Step 2: Convert to fraction form
    1,716.57/2,584.22 = 1,172.19/x
  3. Step 3: Cross multiply
    1,716.57x = 2,584.22 × 1,172.19
  4. Step 4: Simplify right side
    1,716.57x = 3,029,190.98
  5. Step 5: Solve for x
    x = 3,029,190.98/1,716.57
  6. Step 6: Final answer
    x = 1,764.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.