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Finding the Fourth Proportional to 2,712.77, 4,069.86 and 1,252.97

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Solution

The fourth proportional to 2,712.77, 4,069.86 and 1,252.97 is: 1,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.77 : 4,069.86 = 1,252.97 : x
  2. Step 2: Convert to fraction form
    2,712.77/4,069.86 = 1,252.97/x
  3. Step 3: Cross multiply
    2,712.77x = 4,069.86 × 1,252.97
  4. Step 4: Simplify right side
    2,712.77x = 5,099,412.48
  5. Step 5: Solve for x
    x = 5,099,412.48/2,712.77
  6. Step 6: Final answer
    x = 1,879.78

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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.