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Finding the Fourth Proportional to 2,563.37, 3,842.48 and 1,001.22

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Solution

The fourth proportional to 2,563.37, 3,842.48 and 1,001.22 is: 1,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.37 : 3,842.48 = 1,001.22 : x
  2. Step 2: Convert to fraction form
    2,563.37/3,842.48 = 1,001.22/x
  3. Step 3: Cross multiply
    2,563.37x = 3,842.48 × 1,001.22
  4. Step 4: Simplify right side
    2,563.37x = 3,847,167.83
  5. Step 5: Solve for x
    x = 3,847,167.83/2,563.37
  6. Step 6: Final answer
    x = 1,500.82

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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.