Home / 1,743.14-2,614.41-573.15

Finding the Fourth Proportional to 1,743.14, 2,614.41 and 573.15

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Solution

The fourth proportional to 1,743.14, 2,614.41 and 573.15 is: 859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.14 : 2,614.41 = 573.15 : x
  2. Step 2: Convert to fraction form
    1,743.14/2,614.41 = 573.15/x
  3. Step 3: Cross multiply
    1,743.14x = 2,614.41 × 573.15
  4. Step 4: Simplify right side
    1,743.14x = 1,498,449.09
  5. Step 5: Solve for x
    x = 1,498,449.09/1,743.14
  6. Step 6: Final answer
    x = 859.63

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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.