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Finding the Fourth Proportional to 2,467.17, 3,701.37 and 735.80

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Solution

The fourth proportional to 2,467.17, 3,701.37 and 735.80 is: 1,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.17 : 3,701.37 = 735.80 : x
  2. Step 2: Convert to fraction form
    2,467.17/3,701.37 = 735.80/x
  3. Step 3: Cross multiply
    2,467.17x = 3,701.37 × 735.80
  4. Step 4: Simplify right side
    2,467.17x = 2,723,468.05
  5. Step 5: Solve for x
    x = 2,723,468.05/2,467.17
  6. Step 6: Final answer
    x = 1,103.88

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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.