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Finding the Fourth Proportional to 2,761.94, 3,811.04 and 1,582.78

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Solution

The fourth proportional to 2,761.94, 3,811.04 and 1,582.78 is: 2,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.94 : 3,811.04 = 1,582.78 : x
  2. Step 2: Convert to fraction form
    2,761.94/3,811.04 = 1,582.78/x
  3. Step 3: Cross multiply
    2,761.94x = 3,811.04 × 1,582.78
  4. Step 4: Simplify right side
    2,761.94x = 6,032,037.89
  5. Step 5: Solve for x
    x = 6,032,037.89/2,761.94
  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.