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Finding the Fourth Proportional to 2,563.77, 3,846.72 and 1,228.89

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Solution

The fourth proportional to 2,563.77, 3,846.72 and 1,228.89 is: 1,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.77 : 3,846.72 = 1,228.89 : x
  2. Step 2: Convert to fraction form
    2,563.77/3,846.72 = 1,228.89/x
  3. Step 3: Cross multiply
    2,563.77x = 3,846.72 × 1,228.89
  4. Step 4: Simplify right side
    2,563.77x = 4,727,195.74
  5. Step 5: Solve for x
    x = 4,727,195.74/2,563.77
  6. Step 6: Final answer
    x = 1,843.85

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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.