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Finding the Fourth Proportional to 2,563.75, 3,537.75 and 1,444.78

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Solution

The fourth proportional to 2,563.75, 3,537.75 and 1,444.78 is: 1,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.75 : 3,537.75 = 1,444.78 : x
  2. Step 2: Convert to fraction form
    2,563.75/3,537.75 = 1,444.78/x
  3. Step 3: Cross multiply
    2,563.75x = 3,537.75 × 1,444.78
  4. Step 4: Simplify right side
    2,563.75x = 5,111,270.45
  5. Step 5: Solve for x
    x = 5,111,270.45/2,563.75
  6. Step 6: Final answer
    x = 1,993.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.