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Finding the Fourth Proportional to 1,273.65, 1,910.34 and 349.29

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Solution

The fourth proportional to 1,273.65, 1,910.34 and 349.29 is: 523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.65 : 1,910.34 = 349.29 : x
  2. Step 2: Convert to fraction form
    1,273.65/1,910.34 = 349.29/x
  3. Step 3: Cross multiply
    1,273.65x = 1,910.34 × 349.29
  4. Step 4: Simplify right side
    1,273.65x = 667,262.66
  5. Step 5: Solve for x
    x = 667,262.66/1,273.65
  6. Step 6: Final answer
    x = 523.90

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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.