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Finding the Fourth Proportional to 1,744.77, 2,614.07 and 921.23

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Solution

The fourth proportional to 1,744.77, 2,614.07 and 921.23 is: 1,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.77 : 2,614.07 = 921.23 : x
  2. Step 2: Convert to fraction form
    1,744.77/2,614.07 = 921.23/x
  3. Step 3: Cross multiply
    1,744.77x = 2,614.07 × 921.23
  4. Step 4: Simplify right side
    1,744.77x = 2,408,142.03
  5. Step 5: Solve for x
    x = 2,408,142.03/1,744.77
  6. Step 6: Final answer
    x = 1,380.21

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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.