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Finding the Fourth Proportional to 1,744.40, 2,408.46 and 1,596.44

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Solution

The fourth proportional to 1,744.40, 2,408.46 and 1,596.44 is: 2,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.40 : 2,408.46 = 1,596.44 : x
  2. Step 2: Convert to fraction form
    1,744.40/2,408.46 = 1,596.44/x
  3. Step 3: Cross multiply
    1,744.40x = 2,408.46 × 1,596.44
  4. Step 4: Simplify right side
    1,744.40x = 3,844,961.88
  5. Step 5: Solve for x
    x = 3,844,961.88/1,744.40
  6. Step 6: Final answer
    x = 2,204.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.