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Finding the Fourth Proportional to 2,419.26, 3,628.92 and 859.23

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Solution

The fourth proportional to 2,419.26, 3,628.92 and 859.23 is: 1,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.26 : 3,628.92 = 859.23 : x
  2. Step 2: Convert to fraction form
    2,419.26/3,628.92 = 859.23/x
  3. Step 3: Cross multiply
    2,419.26x = 3,628.92 × 859.23
  4. Step 4: Simplify right side
    2,419.26x = 3,118,076.93
  5. Step 5: Solve for x
    x = 3,118,076.93/2,419.26
  6. Step 6: Final answer
    x = 1,288.86

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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.