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Finding the Fourth Proportional to 2,107.38, 3,164.71 and 1,942.54

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Solution

The fourth proportional to 2,107.38, 3,164.71 and 1,942.54 is: 2,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.38 : 3,164.71 = 1,942.54 : x
  2. Step 2: Convert to fraction form
    2,107.38/3,164.71 = 1,942.54/x
  3. Step 3: Cross multiply
    2,107.38x = 3,164.71 × 1,942.54
  4. Step 4: Simplify right side
    2,107.38x = 6,147,575.76
  5. Step 5: Solve for x
    x = 6,147,575.76/2,107.38
  6. Step 6: Final answer
    x = 2,917.17

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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.