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Finding the Fourth Proportional to 2,158.94, 3,229.69 and 1,794.46

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Solution

The fourth proportional to 2,158.94, 3,229.69 and 1,794.46 is: 2,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.94 : 3,229.69 = 1,794.46 : x
  2. Step 2: Convert to fraction form
    2,158.94/3,229.69 = 1,794.46/x
  3. Step 3: Cross multiply
    2,158.94x = 3,229.69 × 1,794.46
  4. Step 4: Simplify right side
    2,158.94x = 5,795,549.52
  5. Step 5: Solve for x
    x = 5,795,549.52/2,158.94
  6. Step 6: Final answer
    x = 2,684.44

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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.