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Finding the Fourth Proportional to 2,126.27, 3,188.64 and 739.25

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Solution

The fourth proportional to 2,126.27, 3,188.64 and 739.25 is: 1,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.27 : 3,188.64 = 739.25 : x
  2. Step 2: Convert to fraction form
    2,126.27/3,188.64 = 739.25/x
  3. Step 3: Cross multiply
    2,126.27x = 3,188.64 × 739.25
  4. Step 4: Simplify right side
    2,126.27x = 2,357,202.12
  5. Step 5: Solve for x
    x = 2,357,202.12/2,126.27
  6. Step 6: Final answer
    x = 1,108.61

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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.