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Finding the Fourth Proportional to 2,563.27, 3,845.22 and 1,101.58

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Solution

The fourth proportional to 2,563.27, 3,845.22 and 1,101.58 is: 1,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.27 : 3,845.22 = 1,101.58 : x
  2. Step 2: Convert to fraction form
    2,563.27/3,845.22 = 1,101.58/x
  3. Step 3: Cross multiply
    2,563.27x = 3,845.22 × 1,101.58
  4. Step 4: Simplify right side
    2,563.27x = 4,235,817.45
  5. Step 5: Solve for x
    x = 4,235,817.45/2,563.27
  6. Step 6: Final answer
    x = 1,652.51

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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.