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Finding the Fourth Proportional to 1,912.73, 2,870.72 and 759.29

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Solution

The fourth proportional to 1,912.73, 2,870.72 and 759.29 is: 1,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.73 : 2,870.72 = 759.29 : x
  2. Step 2: Convert to fraction form
    1,912.73/2,870.72 = 759.29/x
  3. Step 3: Cross multiply
    1,912.73x = 2,870.72 × 759.29
  4. Step 4: Simplify right side
    1,912.73x = 2,179,708.99
  5. Step 5: Solve for x
    x = 2,179,708.99/1,912.73
  6. Step 6: Final answer
    x = 1,139.58

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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.