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Finding the Fourth Proportional to 2,179.52, 3,267.23 and 1,082.83

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Solution

The fourth proportional to 2,179.52, 3,267.23 and 1,082.83 is: 1,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.52 : 3,267.23 = 1,082.83 : x
  2. Step 2: Convert to fraction form
    2,179.52/3,267.23 = 1,082.83/x
  3. Step 3: Cross multiply
    2,179.52x = 3,267.23 × 1,082.83
  4. Step 4: Simplify right side
    2,179.52x = 3,537,854.66
  5. Step 5: Solve for x
    x = 3,537,854.66/2,179.52
  6. Step 6: Final answer
    x = 1,623.23

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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.