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Finding the Fourth Proportional to 2,315.26, 3,189.24 and 1,724.80

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Solution

The fourth proportional to 2,315.26, 3,189.24 and 1,724.80 is: 2,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.26 : 3,189.24 = 1,724.80 : x
  2. Step 2: Convert to fraction form
    2,315.26/3,189.24 = 1,724.80/x
  3. Step 3: Cross multiply
    2,315.26x = 3,189.24 × 1,724.80
  4. Step 4: Simplify right side
    2,315.26x = 5,500,801.15
  5. Step 5: Solve for x
    x = 5,500,801.15/2,315.26
  6. Step 6: Final answer
    x = 2,375.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.