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Finding the Fourth Proportional to 1,568.23, 2,163.99 and 1,194.28

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Solution

The fourth proportional to 1,568.23, 2,163.99 and 1,194.28 is: 1,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.23 : 2,163.99 = 1,194.28 : x
  2. Step 2: Convert to fraction form
    1,568.23/2,163.99 = 1,194.28/x
  3. Step 3: Cross multiply
    1,568.23x = 2,163.99 × 1,194.28
  4. Step 4: Simplify right side
    1,568.23x = 2,584,409.98
  5. Step 5: Solve for x
    x = 2,584,409.98/1,568.23
  6. Step 6: Final answer
    x = 1,647.98

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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.