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Finding the Fourth Proportional to 2,760.96, 3,810.26 and 1,582.44

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Solution

The fourth proportional to 2,760.96, 3,810.26 and 1,582.44 is: 2,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.96 : 3,810.26 = 1,582.44 : x
  2. Step 2: Convert to fraction form
    2,760.96/3,810.26 = 1,582.44/x
  3. Step 3: Cross multiply
    2,760.96x = 3,810.26 × 1,582.44
  4. Step 4: Simplify right side
    2,760.96x = 6,029,507.83
  5. Step 5: Solve for x
    x = 6,029,507.83/2,760.96
  6. Step 6: Final answer
    x = 2,183.84

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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.