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Finding the Fourth Proportional to 2,134.37, 3,201.84 and 747.38

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Solution

The fourth proportional to 2,134.37, 3,201.84 and 747.38 is: 1,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.37 : 3,201.84 = 747.38 : x
  2. Step 2: Convert to fraction form
    2,134.37/3,201.84 = 747.38/x
  3. Step 3: Cross multiply
    2,134.37x = 3,201.84 × 747.38
  4. Step 4: Simplify right side
    2,134.37x = 2,392,975.17
  5. Step 5: Solve for x
    x = 2,392,975.17/2,134.37
  6. Step 6: Final answer
    x = 1,121.16

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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.