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Finding the Fourth Proportional to 2,126.65, 3,189.79 and 739.75

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Solution

The fourth proportional to 2,126.65, 3,189.79 and 739.75 is: 1,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.65 : 3,189.79 = 739.75 : x
  2. Step 2: Convert to fraction form
    2,126.65/3,189.79 = 739.75/x
  3. Step 3: Cross multiply
    2,126.65x = 3,189.79 × 739.75
  4. Step 4: Simplify right side
    2,126.65x = 2,359,637.33
  5. Step 5: Solve for x
    x = 2,359,637.33/2,126.65
  6. Step 6: Final answer
    x = 1,109.56

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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.