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Finding the Fourth Proportional to 2,191.41, 3,284.24 and 892.17

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Solution

The fourth proportional to 2,191.41, 3,284.24 and 892.17 is: 1,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.41 : 3,284.24 = 892.17 : x
  2. Step 2: Convert to fraction form
    2,191.41/3,284.24 = 892.17/x
  3. Step 3: Cross multiply
    2,191.41x = 3,284.24 × 892.17
  4. Step 4: Simplify right side
    2,191.41x = 2,930,095.94
  5. Step 5: Solve for x
    x = 2,930,095.94/2,191.41
  6. Step 6: Final answer
    x = 1,337.08

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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.