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Finding the Fourth Proportional to 2,512.69, 3,766.77 and 1,342.17

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Solution

The fourth proportional to 2,512.69, 3,766.77 and 1,342.17 is: 2,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.69 : 3,766.77 = 1,342.17 : x
  2. Step 2: Convert to fraction form
    2,512.69/3,766.77 = 1,342.17/x
  3. Step 3: Cross multiply
    2,512.69x = 3,766.77 × 1,342.17
  4. Step 4: Simplify right side
    2,512.69x = 5,055,645.69
  5. Step 5: Solve for x
    x = 5,055,645.69/2,512.69
  6. Step 6: Final answer
    x = 2,012.05

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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.