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Finding the Fourth Proportional to 2,111.82, 2,914.75 and 1,227.77

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Solution

The fourth proportional to 2,111.82, 2,914.75 and 1,227.77 is: 1,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.82 : 2,914.75 = 1,227.77 : x
  2. Step 2: Convert to fraction form
    2,111.82/2,914.75 = 1,227.77/x
  3. Step 3: Cross multiply
    2,111.82x = 2,914.75 × 1,227.77
  4. Step 4: Simplify right side
    2,111.82x = 3,578,642.61
  5. Step 5: Solve for x
    x = 3,578,642.61/2,111.82
  6. Step 6: Final answer
    x = 1,694.58

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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.