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Finding the Fourth Proportional to 2,563.60, 3,844.03 and 1,327.94

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Solution

The fourth proportional to 2,563.60, 3,844.03 and 1,327.94 is: 1,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.60 : 3,844.03 = 1,327.94 : x
  2. Step 2: Convert to fraction form
    2,563.60/3,844.03 = 1,327.94/x
  3. Step 3: Cross multiply
    2,563.60x = 3,844.03 × 1,327.94
  4. Step 4: Simplify right side
    2,563.60x = 5,104,647.49
  5. Step 5: Solve for x
    x = 5,104,647.49/2,563.60
  6. Step 6: Final answer
    x = 1,991.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.