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Finding the Fourth Proportional to 2,751.75, 3,797.42 and 1,509.75

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Solution

The fourth proportional to 2,751.75, 3,797.42 and 1,509.75 is: 2,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.75 : 3,797.42 = 1,509.75 : x
  2. Step 2: Convert to fraction form
    2,751.75/3,797.42 = 1,509.75/x
  3. Step 3: Cross multiply
    2,751.75x = 3,797.42 × 1,509.75
  4. Step 4: Simplify right side
    2,751.75x = 5,733,147.30
  5. Step 5: Solve for x
    x = 5,733,147.30/2,751.75
  6. Step 6: Final answer
    x = 2,083.46

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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.