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Finding the Fourth Proportional to 1,620.99, 2,428.69 and 1,276.53

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Solution

The fourth proportional to 1,620.99, 2,428.69 and 1,276.53 is: 1,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.99 : 2,428.69 = 1,276.53 : x
  2. Step 2: Convert to fraction form
    1,620.99/2,428.69 = 1,276.53/x
  3. Step 3: Cross multiply
    1,620.99x = 2,428.69 × 1,276.53
  4. Step 4: Simplify right side
    1,620.99x = 3,100,295.65
  5. Step 5: Solve for x
    x = 3,100,295.65/1,620.99
  6. Step 6: Final answer
    x = 1,912.59

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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.