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Finding the Fourth Proportional to 2,563.41, 3,845.01 and 832.05

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Solution

The fourth proportional to 2,563.41, 3,845.01 and 832.05 is: 1,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.41 : 3,845.01 = 832.05 : x
  2. Step 2: Convert to fraction form
    2,563.41/3,845.01 = 832.05/x
  3. Step 3: Cross multiply
    2,563.41x = 3,845.01 × 832.05
  4. Step 4: Simplify right side
    2,563.41x = 3,199,240.57
  5. Step 5: Solve for x
    x = 3,199,240.57/2,563.41
  6. Step 6: Final answer
    x = 1,248.04

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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.