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Finding the Fourth Proportional to 2,760.58, 3,809.60 and 1,582.33

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Solution

The fourth proportional to 2,760.58, 3,809.60 and 1,582.33 is: 2,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.58 : 3,809.60 = 1,582.33 : x
  2. Step 2: Convert to fraction form
    2,760.58/3,809.60 = 1,582.33/x
  3. Step 3: Cross multiply
    2,760.58x = 3,809.60 × 1,582.33
  4. Step 4: Simplify right side
    2,760.58x = 6,028,049.94
  5. Step 5: Solve for x
    x = 6,028,049.94/2,760.58
  6. Step 6: Final answer
    x = 2,183.62

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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.