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Finding the Fourth Proportional to 2,419.26, 3,629.36 and 859.33

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Solution

The fourth proportional to 2,419.26, 3,629.36 and 859.33 is: 1,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.26 : 3,629.36 = 859.33 : x
  2. Step 2: Convert to fraction form
    2,419.26/3,629.36 = 859.33/x
  3. Step 3: Cross multiply
    2,419.26x = 3,629.36 × 859.33
  4. Step 4: Simplify right side
    2,419.26x = 3,118,817.93
  5. Step 5: Solve for x
    x = 3,118,817.93/2,419.26
  6. Step 6: Final answer
    x = 1,289.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.