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Finding the Fourth Proportional to 2,563.64, 3,844.75 and 1,003.33

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Solution

The fourth proportional to 2,563.64, 3,844.75 and 1,003.33 is: 1,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.64 : 3,844.75 = 1,003.33 : x
  2. Step 2: Convert to fraction form
    2,563.64/3,844.75 = 1,003.33/x
  3. Step 3: Cross multiply
    2,563.64x = 3,844.75 × 1,003.33
  4. Step 4: Simplify right side
    2,563.64x = 3,857,528.78
  5. Step 5: Solve for x
    x = 3,857,528.78/2,563.64
  6. Step 6: Final answer
    x = 1,504.71

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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.