Home / 1,292.96-1,782.60-1,163.36

Finding the Fourth Proportional to 1,292.96, 1,782.60 and 1,163.36

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Solution

The fourth proportional to 1,292.96, 1,782.60 and 1,163.36 is: 1,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.96 : 1,782.60 = 1,163.36 : x
  2. Step 2: Convert to fraction form
    1,292.96/1,782.60 = 1,163.36/x
  3. Step 3: Cross multiply
    1,292.96x = 1,782.60 × 1,163.36
  4. Step 4: Simplify right side
    1,292.96x = 2,073,805.54
  5. Step 5: Solve for x
    x = 2,073,805.54/1,292.96
  6. Step 6: Final answer
    x = 1,603.92

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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.