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Finding the Fourth Proportional to 2,617.57, 3,921.68 and 1,382.22

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Solution

The fourth proportional to 2,617.57, 3,921.68 and 1,382.22 is: 2,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.57 : 3,921.68 = 1,382.22 : x
  2. Step 2: Convert to fraction form
    2,617.57/3,921.68 = 1,382.22/x
  3. Step 3: Cross multiply
    2,617.57x = 3,921.68 × 1,382.22
  4. Step 4: Simplify right side
    2,617.57x = 5,420,607.81
  5. Step 5: Solve for x
    x = 5,420,607.81/2,617.57
  6. Step 6: Final answer
    x = 2,070.85

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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.