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Finding the Fourth Proportional to 2,520.06, 3,780.75 and 960.09

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Solution

The fourth proportional to 2,520.06, 3,780.75 and 960.09 is: 1,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.06 : 3,780.75 = 960.09 : x
  2. Step 2: Convert to fraction form
    2,520.06/3,780.75 = 960.09/x
  3. Step 3: Cross multiply
    2,520.06x = 3,780.75 × 960.09
  4. Step 4: Simplify right side
    2,520.06x = 3,629,860.27
  5. Step 5: Solve for x
    x = 3,629,860.27/2,520.06
  6. Step 6: Final answer
    x = 1,440.39

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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.