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Finding the Fourth Proportional to 1,272.12, 1,906.28 and 1,042.62

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Solution

The fourth proportional to 1,272.12, 1,906.28 and 1,042.62 is: 1,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.12 : 1,906.28 = 1,042.62 : x
  2. Step 2: Convert to fraction form
    1,272.12/1,906.28 = 1,042.62/x
  3. Step 3: Cross multiply
    1,272.12x = 1,906.28 × 1,042.62
  4. Step 4: Simplify right side
    1,272.12x = 1,987,525.65
  5. Step 5: Solve for x
    x = 1,987,525.65/1,272.12
  6. Step 6: Final answer
    x = 1,562.37

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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.