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Finding the Fourth Proportional to 2,627.53, 3,940.84 and 961.31

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Solution

The fourth proportional to 2,627.53, 3,940.84 and 961.31 is: 1,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.53 : 3,940.84 = 961.31 : x
  2. Step 2: Convert to fraction form
    2,627.53/3,940.84 = 961.31/x
  3. Step 3: Cross multiply
    2,627.53x = 3,940.84 × 961.31
  4. Step 4: Simplify right side
    2,627.53x = 3,788,379.95
  5. Step 5: Solve for x
    x = 3,788,379.95/2,627.53
  6. Step 6: Final answer
    x = 1,441.80

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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.