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Finding the Fourth Proportional to 2,111.76, 2,914.25 and 1,227.78

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Solution

The fourth proportional to 2,111.76, 2,914.25 and 1,227.78 is: 1,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.76 : 2,914.25 = 1,227.78 : x
  2. Step 2: Convert to fraction form
    2,111.76/2,914.25 = 1,227.78/x
  3. Step 3: Cross multiply
    2,111.76x = 2,914.25 × 1,227.78
  4. Step 4: Simplify right side
    2,111.76x = 3,578,051.73
  5. Step 5: Solve for x
    x = 3,578,051.73/2,111.76
  6. Step 6: Final answer
    x = 1,694.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.