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Finding the Fourth Proportional to 2,150.09, 3,225.14 and 851.55

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Solution

The fourth proportional to 2,150.09, 3,225.14 and 851.55 is: 1,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.09 : 3,225.14 = 851.55 : x
  2. Step 2: Convert to fraction form
    2,150.09/3,225.14 = 851.55/x
  3. Step 3: Cross multiply
    2,150.09x = 3,225.14 × 851.55
  4. Step 4: Simplify right side
    2,150.09x = 2,746,367.97
  5. Step 5: Solve for x
    x = 2,746,367.97/2,150.09
  6. Step 6: Final answer
    x = 1,277.33

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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.