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Finding the Fourth Proportional to 2,986.26, 4,121.02 and 1,744.26

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Solution

The fourth proportional to 2,986.26, 4,121.02 and 1,744.26 is: 2,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.26 : 4,121.02 = 1,744.26 : x
  2. Step 2: Convert to fraction form
    2,986.26/4,121.02 = 1,744.26/x
  3. Step 3: Cross multiply
    2,986.26x = 4,121.02 × 1,744.26
  4. Step 4: Simplify right side
    2,986.26x = 7,188,130.35
  5. Step 5: Solve for x
    x = 7,188,130.35/2,986.26
  6. Step 6: Final answer
    x = 2,407.07

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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.