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Finding the Fourth Proportional to 2,189.34, 3,282.12 and 891.72

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Solution

The fourth proportional to 2,189.34, 3,282.12 and 891.72 is: 1,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.34 : 3,282.12 = 891.72 : x
  2. Step 2: Convert to fraction form
    2,189.34/3,282.12 = 891.72/x
  3. Step 3: Cross multiply
    2,189.34x = 3,282.12 × 891.72
  4. Step 4: Simplify right side
    2,189.34x = 2,926,732.05
  5. Step 5: Solve for x
    x = 2,926,732.05/2,189.34
  6. Step 6: Final answer
    x = 1,336.81

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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.