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Finding the Fourth Proportional to 2,191.91, 3,284.98 and 892.67

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Solution

The fourth proportional to 2,191.91, 3,284.98 and 892.67 is: 1,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.91 : 3,284.98 = 892.67 : x
  2. Step 2: Convert to fraction form
    2,191.91/3,284.98 = 892.67/x
  3. Step 3: Cross multiply
    2,191.91x = 3,284.98 × 892.67
  4. Step 4: Simplify right side
    2,191.91x = 2,932,403.10
  5. Step 5: Solve for x
    x = 2,932,403.10/2,191.91
  6. Step 6: Final answer
    x = 1,337.83

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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.