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Finding the Fourth Proportional to 2,126.05, 3,189.27 and 739.23

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Solution

The fourth proportional to 2,126.05, 3,189.27 and 739.23 is: 1,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.05 : 3,189.27 = 739.23 : x
  2. Step 2: Convert to fraction form
    2,126.05/3,189.27 = 739.23/x
  3. Step 3: Cross multiply
    2,126.05x = 3,189.27 × 739.23
  4. Step 4: Simplify right side
    2,126.05x = 2,357,594.87
  5. Step 5: Solve for x
    x = 2,357,594.87/2,126.05
  6. Step 6: Final answer
    x = 1,108.91

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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.