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Finding the Fourth Proportional to 2,563.25, 3,844.88 and 1,024.25

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Solution

The fourth proportional to 2,563.25, 3,844.88 and 1,024.25 is: 1,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.25 : 3,844.88 = 1,024.25 : x
  2. Step 2: Convert to fraction form
    2,563.25/3,844.88 = 1,024.25/x
  3. Step 3: Cross multiply
    2,563.25x = 3,844.88 × 1,024.25
  4. Step 4: Simplify right side
    2,563.25x = 3,938,113.22
  5. Step 5: Solve for x
    x = 3,938,113.22/2,563.25
  6. Step 6: Final answer
    x = 1,536.38

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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.