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Finding the Fourth Proportional to 2,917.94, 4,021.89 and 1,984.82

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Solution

The fourth proportional to 2,917.94, 4,021.89 and 1,984.82 is: 2,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.94 : 4,021.89 = 1,984.82 : x
  2. Step 2: Convert to fraction form
    2,917.94/4,021.89 = 1,984.82/x
  3. Step 3: Cross multiply
    2,917.94x = 4,021.89 × 1,984.82
  4. Step 4: Simplify right side
    2,917.94x = 7,982,727.71
  5. Step 5: Solve for x
    x = 7,982,727.71/2,917.94
  6. Step 6: Final answer
    x = 2,735.74

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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.