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Finding the Fourth Proportional to 2,419.26, 3,629.09 and 859.60

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Solution

The fourth proportional to 2,419.26, 3,629.09 and 859.60 is: 1,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.26 : 3,629.09 = 859.60 : x
  2. Step 2: Convert to fraction form
    2,419.26/3,629.09 = 859.60/x
  3. Step 3: Cross multiply
    2,419.26x = 3,629.09 × 859.60
  4. Step 4: Simplify right side
    2,419.26x = 3,119,565.76
  5. Step 5: Solve for x
    x = 3,119,565.76/2,419.26
  6. Step 6: Final answer
    x = 1,289.47

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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.