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Finding the Fourth Proportional to 2,563.52, 3,846.48 and 1,264.28

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Solution

The fourth proportional to 2,563.52, 3,846.48 and 1,264.28 is: 1,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.52 : 3,846.48 = 1,264.28 : x
  2. Step 2: Convert to fraction form
    2,563.52/3,846.48 = 1,264.28/x
  3. Step 3: Cross multiply
    2,563.52x = 3,846.48 × 1,264.28
  4. Step 4: Simplify right side
    2,563.52x = 4,863,027.73
  5. Step 5: Solve for x
    x = 4,863,027.73/2,563.52
  6. Step 6: Final answer
    x = 1,897.01

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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.