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Finding the Fourth Proportional to 2,143.82, 3,216.12 and 911.18

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Solution

The fourth proportional to 2,143.82, 3,216.12 and 911.18 is: 1,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.82 : 3,216.12 = 911.18 : x
  2. Step 2: Convert to fraction form
    2,143.82/3,216.12 = 911.18/x
  3. Step 3: Cross multiply
    2,143.82x = 3,216.12 × 911.18
  4. Step 4: Simplify right side
    2,143.82x = 2,930,464.22
  5. Step 5: Solve for x
    x = 2,930,464.22/2,143.82
  6. Step 6: Final answer
    x = 1,366.94

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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.