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Finding the Fourth Proportional to 1,273.62, 1,900.02 and 1,238.34

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Solution

The fourth proportional to 1,273.62, 1,900.02 and 1,238.34 is: 1,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.62 : 1,900.02 = 1,238.34 : x
  2. Step 2: Convert to fraction form
    1,273.62/1,900.02 = 1,238.34/x
  3. Step 3: Cross multiply
    1,273.62x = 1,900.02 × 1,238.34
  4. Step 4: Simplify right side
    1,273.62x = 2,352,864.58
  5. Step 5: Solve for x
    x = 2,352,864.58/1,273.62
  6. Step 6: Final answer
    x = 1,847.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.