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Finding the Fourth Proportional to 2,563.52, 3,846.08 and 1,024.48

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Solution

The fourth proportional to 2,563.52, 3,846.08 and 1,024.48 is: 1,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.52 : 3,846.08 = 1,024.48 : x
  2. Step 2: Convert to fraction form
    2,563.52/3,846.08 = 1,024.48/x
  3. Step 3: Cross multiply
    2,563.52x = 3,846.08 × 1,024.48
  4. Step 4: Simplify right side
    2,563.52x = 3,940,232.04
  5. Step 5: Solve for x
    x = 3,940,232.04/2,563.52
  6. Step 6: Final answer
    x = 1,537.04

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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.