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Finding the Fourth Proportional to 2,134.89, 3,201.75 and 674.01

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Solution

The fourth proportional to 2,134.89, 3,201.75 and 674.01 is: 1,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.89 : 3,201.75 = 674.01 : x
  2. Step 2: Convert to fraction form
    2,134.89/3,201.75 = 674.01/x
  3. Step 3: Cross multiply
    2,134.89x = 3,201.75 × 674.01
  4. Step 4: Simplify right side
    2,134.89x = 2,158,011.52
  5. Step 5: Solve for x
    x = 2,158,011.52/2,134.89
  6. Step 6: Final answer
    x = 1,010.83

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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.