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Finding the Fourth Proportional to 2,935.28, 4,407 and 1,836.44

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Solution

The fourth proportional to 2,935.28, 4,407 and 1,836.44 is: 2,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.28 : 4,407 = 1,836.44 : x
  2. Step 2: Convert to fraction form
    2,935.28/4,407 = 1,836.44/x
  3. Step 3: Cross multiply
    2,935.28x = 4,407 × 1,836.44
  4. Step 4: Simplify right side
    2,935.28x = 8,093,191.08
  5. Step 5: Solve for x
    x = 8,093,191.08/2,935.28
  6. Step 6: Final answer
    x = 2,757.21

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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.