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Finding the Fourth Proportional to 2,179.88, 3,267.48 and 1,082.06

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Solution

The fourth proportional to 2,179.88, 3,267.48 and 1,082.06 is: 1,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.88 : 3,267.48 = 1,082.06 : x
  2. Step 2: Convert to fraction form
    2,179.88/3,267.48 = 1,082.06/x
  3. Step 3: Cross multiply
    2,179.88x = 3,267.48 × 1,082.06
  4. Step 4: Simplify right side
    2,179.88x = 3,535,609.41
  5. Step 5: Solve for x
    x = 3,535,609.41/2,179.88
  6. Step 6: Final answer
    x = 1,621.93

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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.