Home / 1,634.85-2,453.35-769.23

Finding the Fourth Proportional to 1,634.85, 2,453.35 and 769.23

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Solution

The fourth proportional to 1,634.85, 2,453.35 and 769.23 is: 1,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.85 : 2,453.35 = 769.23 : x
  2. Step 2: Convert to fraction form
    1,634.85/2,453.35 = 769.23/x
  3. Step 3: Cross multiply
    1,634.85x = 2,453.35 × 769.23
  4. Step 4: Simplify right side
    1,634.85x = 1,887,174.31
  5. Step 5: Solve for x
    x = 1,887,174.31/1,634.85
  6. Step 6: Final answer
    x = 1,154.34

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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.