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Finding the Fourth Proportional to 2,194.97, 3,032.87 and 2,116.15

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Solution

The fourth proportional to 2,194.97, 3,032.87 and 2,116.15 is: 2,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.97 : 3,032.87 = 2,116.15 : x
  2. Step 2: Convert to fraction form
    2,194.97/3,032.87 = 2,116.15/x
  3. Step 3: Cross multiply
    2,194.97x = 3,032.87 × 2,116.15
  4. Step 4: Simplify right side
    2,194.97x = 6,418,004.17
  5. Step 5: Solve for x
    x = 6,418,004.17/2,194.97
  6. Step 6: Final answer
    x = 2,923.96

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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.