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Finding the Fourth Proportional to 1,912.73, 2,642.17 and 1,498.33

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Solution

The fourth proportional to 1,912.73, 2,642.17 and 1,498.33 is: 2,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.73 : 2,642.17 = 1,498.33 : x
  2. Step 2: Convert to fraction form
    1,912.73/2,642.17 = 1,498.33/x
  3. Step 3: Cross multiply
    1,912.73x = 2,642.17 × 1,498.33
  4. Step 4: Simplify right side
    1,912.73x = 3,958,829.37
  5. Step 5: Solve for x
    x = 3,958,829.37/1,912.73
  6. Step 6: Final answer
    x = 2,069.73

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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.