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Finding the Fourth Proportional to 2,078.97, 2,869.25 and 1,194.77

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Solution

The fourth proportional to 2,078.97, 2,869.25 and 1,194.77 is: 1,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.97 : 2,869.25 = 1,194.77 : x
  2. Step 2: Convert to fraction form
    2,078.97/2,869.25 = 1,194.77/x
  3. Step 3: Cross multiply
    2,078.97x = 2,869.25 × 1,194.77
  4. Step 4: Simplify right side
    2,078.97x = 3,428,093.82
  5. Step 5: Solve for x
    x = 3,428,093.82/2,078.97
  6. Step 6: Final answer
    x = 1,648.94

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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.