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Finding the Fourth Proportional to 2,189.42, 3,284.12 and 2,041.79

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Solution

The fourth proportional to 2,189.42, 3,284.12 and 2,041.79 is: 3,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.42 : 3,284.12 = 2,041.79 : x
  2. Step 2: Convert to fraction form
    2,189.42/3,284.12 = 2,041.79/x
  3. Step 3: Cross multiply
    2,189.42x = 3,284.12 × 2,041.79
  4. Step 4: Simplify right side
    2,189.42x = 6,705,456.75
  5. Step 5: Solve for x
    x = 6,705,456.75/2,189.42
  6. Step 6: Final answer
    x = 3,062.67

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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.