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Finding the Fourth Proportional to 1,940.68, 2,675.46 and 1,644.76

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Solution

The fourth proportional to 1,940.68, 2,675.46 and 1,644.76 is: 2,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.68 : 2,675.46 = 1,644.76 : x
  2. Step 2: Convert to fraction form
    1,940.68/2,675.46 = 1,644.76/x
  3. Step 3: Cross multiply
    1,940.68x = 2,675.46 × 1,644.76
  4. Step 4: Simplify right side
    1,940.68x = 4,400,489.59
  5. Step 5: Solve for x
    x = 4,400,489.59/1,940.68
  6. Step 6: Final answer
    x = 2,267.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.