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Finding the Fourth Proportional to 2,321.26, 3,480.82 and 859.36

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Solution

The fourth proportional to 2,321.26, 3,480.82 and 859.36 is: 1,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.26 : 3,480.82 = 859.36 : x
  2. Step 2: Convert to fraction form
    2,321.26/3,480.82 = 859.36/x
  3. Step 3: Cross multiply
    2,321.26x = 3,480.82 × 859.36
  4. Step 4: Simplify right side
    2,321.26x = 2,991,277.99
  5. Step 5: Solve for x
    x = 2,991,277.99/2,321.26
  6. Step 6: Final answer
    x = 1,288.65

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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.