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Finding the Fourth Proportional to 2,694.60, 4,042.33 and 845.30

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Solution

The fourth proportional to 2,694.60, 4,042.33 and 845.30 is: 1,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.60 : 4,042.33 = 845.30 : x
  2. Step 2: Convert to fraction form
    2,694.60/4,042.33 = 845.30/x
  3. Step 3: Cross multiply
    2,694.60x = 4,042.33 × 845.30
  4. Step 4: Simplify right side
    2,694.60x = 3,416,989.54
  5. Step 5: Solve for x
    x = 3,416,989.54/2,694.60
  6. Step 6: Final answer
    x = 1,268.09

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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.