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Finding the Fourth Proportional to 2,134.56, 3,201.57 and 836.94

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Solution

The fourth proportional to 2,134.56, 3,201.57 and 836.94 is: 1,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.56 : 3,201.57 = 836.94 : x
  2. Step 2: Convert to fraction form
    2,134.56/3,201.57 = 836.94/x
  3. Step 3: Cross multiply
    2,134.56x = 3,201.57 × 836.94
  4. Step 4: Simplify right side
    2,134.56x = 2,679,522.00
  5. Step 5: Solve for x
    x = 2,679,522.00/2,134.56
  6. Step 6: Final answer
    x = 1,255.30

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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.