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Finding the Fourth Proportional to 2,671.40, 3,997.24 and 1,617.82

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Solution

The fourth proportional to 2,671.40, 3,997.24 and 1,617.82 is: 2,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.40 : 3,997.24 = 1,617.82 : x
  2. Step 2: Convert to fraction form
    2,671.40/3,997.24 = 1,617.82/x
  3. Step 3: Cross multiply
    2,671.40x = 3,997.24 × 1,617.82
  4. Step 4: Simplify right side
    2,671.40x = 6,466,814.82
  5. Step 5: Solve for x
    x = 6,466,814.82/2,671.40
  6. Step 6: Final answer
    x = 2,420.76

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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.