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Finding the Fourth Proportional to 3,401.62, 5,102.72 and 1,453.84

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Solution

The fourth proportional to 3,401.62, 5,102.72 and 1,453.84 is: 2,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.62 : 5,102.72 = 1,453.84 : x
  2. Step 2: Convert to fraction form
    3,401.62/5,102.72 = 1,453.84/x
  3. Step 3: Cross multiply
    3,401.62x = 5,102.72 × 1,453.84
  4. Step 4: Simplify right side
    3,401.62x = 7,418,538.44
  5. Step 5: Solve for x
    x = 7,418,538.44/3,401.62
  6. Step 6: Final answer
    x = 2,180.88

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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.