Home / 1,634.25-2,449.76-767.01

Finding the Fourth Proportional to 1,634.25, 2,449.76 and 767.01

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Solution

The fourth proportional to 1,634.25, 2,449.76 and 767.01 is: 1,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.25 : 2,449.76 = 767.01 : x
  2. Step 2: Convert to fraction form
    1,634.25/2,449.76 = 767.01/x
  3. Step 3: Cross multiply
    1,634.25x = 2,449.76 × 767.01
  4. Step 4: Simplify right side
    1,634.25x = 1,878,986.58
  5. Step 5: Solve for x
    x = 1,878,986.58/1,634.25
  6. Step 6: Final answer
    x = 1,149.75

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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.