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Finding the Fourth Proportional to 1,819.20, 2,727.54 and 845.94

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Solution

The fourth proportional to 1,819.20, 2,727.54 and 845.94 is: 1,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.20 : 2,727.54 = 845.94 : x
  2. Step 2: Convert to fraction form
    1,819.20/2,727.54 = 845.94/x
  3. Step 3: Cross multiply
    1,819.20x = 2,727.54 × 845.94
  4. Step 4: Simplify right side
    1,819.20x = 2,307,335.19
  5. Step 5: Solve for x
    x = 2,307,335.19/1,819.20
  6. Step 6: Final answer
    x = 1,268.32

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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.