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Finding the Fourth Proportional to 2,969.31, 4,454.24 and 1,214.44

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Solution

The fourth proportional to 2,969.31, 4,454.24 and 1,214.44 is: 1,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.31 : 4,454.24 = 1,214.44 : x
  2. Step 2: Convert to fraction form
    2,969.31/4,454.24 = 1,214.44/x
  3. Step 3: Cross multiply
    2,969.31x = 4,454.24 × 1,214.44
  4. Step 4: Simplify right side
    2,969.31x = 5,409,421.90
  5. Step 5: Solve for x
    x = 5,409,421.90/2,969.31
  6. Step 6: Final answer
    x = 1,821.78

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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.