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Finding the Fourth Proportional to 2,563.65, 3,847.38 and 1,103.82

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Solution

The fourth proportional to 2,563.65, 3,847.38 and 1,103.82 is: 1,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.65 : 3,847.38 = 1,103.82 : x
  2. Step 2: Convert to fraction form
    2,563.65/3,847.38 = 1,103.82/x
  3. Step 3: Cross multiply
    2,563.65x = 3,847.38 × 1,103.82
  4. Step 4: Simplify right side
    2,563.65x = 4,246,814.99
  5. Step 5: Solve for x
    x = 4,246,814.99/2,563.65
  6. Step 6: Final answer
    x = 1,656.55

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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.