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Finding the Fourth Proportional to 2,134.56, 3,201.78 and 835.08

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Solution

The fourth proportional to 2,134.56, 3,201.78 and 835.08 is: 1,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.56 : 3,201.78 = 835.08 : x
  2. Step 2: Convert to fraction form
    2,134.56/3,201.78 = 835.08/x
  3. Step 3: Cross multiply
    2,134.56x = 3,201.78 × 835.08
  4. Step 4: Simplify right side
    2,134.56x = 2,673,742.44
  5. Step 5: Solve for x
    x = 2,673,742.44/2,134.56
  6. Step 6: Final answer
    x = 1,252.60

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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.