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Finding the Fourth Proportional to 2,164.79, 3,246.21 and 1,068.73

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Solution

The fourth proportional to 2,164.79, 3,246.21 and 1,068.73 is: 1,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.79 : 3,246.21 = 1,068.73 : x
  2. Step 2: Convert to fraction form
    2,164.79/3,246.21 = 1,068.73/x
  3. Step 3: Cross multiply
    2,164.79x = 3,246.21 × 1,068.73
  4. Step 4: Simplify right side
    2,164.79x = 3,469,313.90
  5. Step 5: Solve for x
    x = 3,469,313.90/2,164.79
  6. Step 6: Final answer
    x = 1,602.61

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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.