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Finding the Fourth Proportional to 2,376.05, 3,563.89 and 835.97

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Solution

The fourth proportional to 2,376.05, 3,563.89 and 835.97 is: 1,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.05 : 3,563.89 = 835.97 : x
  2. Step 2: Convert to fraction form
    2,376.05/3,563.89 = 835.97/x
  3. Step 3: Cross multiply
    2,376.05x = 3,563.89 × 835.97
  4. Step 4: Simplify right side
    2,376.05x = 2,979,285.21
  5. Step 5: Solve for x
    x = 2,979,285.21/2,376.05
  6. Step 6: Final answer
    x = 1,253.88

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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.