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Finding the Fourth Proportional to 2,182.80, 3,266.28 and 1,209.84

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Solution

The fourth proportional to 2,182.80, 3,266.28 and 1,209.84 is: 1,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.80 : 3,266.28 = 1,209.84 : x
  2. Step 2: Convert to fraction form
    2,182.80/3,266.28 = 1,209.84/x
  3. Step 3: Cross multiply
    2,182.80x = 3,266.28 × 1,209.84
  4. Step 4: Simplify right side
    2,182.80x = 3,951,676.20
  5. Step 5: Solve for x
    x = 3,951,676.20/2,182.80
  6. Step 6: Final answer
    x = 1,810.37

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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.