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Finding the Fourth Proportional to 2,761.57, 3,810.94 and 1,582.61

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Solution

The fourth proportional to 2,761.57, 3,810.94 and 1,582.61 is: 2,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.57 : 3,810.94 = 1,582.61 : x
  2. Step 2: Convert to fraction form
    2,761.57/3,810.94 = 1,582.61/x
  3. Step 3: Cross multiply
    2,761.57x = 3,810.94 × 1,582.61
  4. Step 4: Simplify right side
    2,761.57x = 6,031,231.75
  5. Step 5: Solve for x
    x = 6,031,231.75/2,761.57
  6. Step 6: Final answer
    x = 2,183.99

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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.