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Finding the Fourth Proportional to 2,563.66, 3,845.81 and 1,003.46

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Solution

The fourth proportional to 2,563.66, 3,845.81 and 1,003.46 is: 1,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.66 : 3,845.81 = 1,003.46 : x
  2. Step 2: Convert to fraction form
    2,563.66/3,845.81 = 1,003.46/x
  3. Step 3: Cross multiply
    2,563.66x = 3,845.81 × 1,003.46
  4. Step 4: Simplify right side
    2,563.66x = 3,859,122.56
  5. Step 5: Solve for x
    x = 3,859,122.56/2,563.66
  6. Step 6: Final answer
    x = 1,505.32

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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.