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Finding the Fourth Proportional to 2,189.76, 3,285.11 and 729.06

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Solution

The fourth proportional to 2,189.76, 3,285.11 and 729.06 is: 1,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.76 : 3,285.11 = 729.06 : x
  2. Step 2: Convert to fraction form
    2,189.76/3,285.11 = 729.06/x
  3. Step 3: Cross multiply
    2,189.76x = 3,285.11 × 729.06
  4. Step 4: Simplify right side
    2,189.76x = 2,395,042.30
  5. Step 5: Solve for x
    x = 2,395,042.30/2,189.76
  6. Step 6: Final answer
    x = 1,093.75

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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.