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Finding the Fourth Proportional to 2,735.94, 3,769.01 and 2,176.23

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Solution

The fourth proportional to 2,735.94, 3,769.01 and 2,176.23 is: 2,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.94 : 3,769.01 = 2,176.23 : x
  2. Step 2: Convert to fraction form
    2,735.94/3,769.01 = 2,176.23/x
  3. Step 3: Cross multiply
    2,735.94x = 3,769.01 × 2,176.23
  4. Step 4: Simplify right side
    2,735.94x = 8,202,202.91
  5. Step 5: Solve for x
    x = 8,202,202.91/2,735.94
  6. Step 6: Final answer
    x = 2,997.95

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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.