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Finding the Fourth Proportional to 1,912.85, 2,639.09 and 1,214.63

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Solution

The fourth proportional to 1,912.85, 2,639.09 and 1,214.63 is: 1,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.85 : 2,639.09 = 1,214.63 : x
  2. Step 2: Convert to fraction form
    1,912.85/2,639.09 = 1,214.63/x
  3. Step 3: Cross multiply
    1,912.85x = 2,639.09 × 1,214.63
  4. Step 4: Simplify right side
    1,912.85x = 3,205,511.81
  5. Step 5: Solve for x
    x = 3,205,511.81/1,912.85
  6. Step 6: Final answer
    x = 1,675.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.