Home / 2,570.14-3,853.70-1,163.98

Finding the Fourth Proportional to 2,570.14, 3,853.70 and 1,163.98

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Solution

The fourth proportional to 2,570.14, 3,853.70 and 1,163.98 is: 1,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.14 : 3,853.70 = 1,163.98 : x
  2. Step 2: Convert to fraction form
    2,570.14/3,853.70 = 1,163.98/x
  3. Step 3: Cross multiply
    2,570.14x = 3,853.70 × 1,163.98
  4. Step 4: Simplify right side
    2,570.14x = 4,485,629.73
  5. Step 5: Solve for x
    x = 4,485,629.73/2,570.14
  6. Step 6: Final answer
    x = 1,745.29

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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.