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Finding the Fourth Proportional to 1,969.02, 2,951.31 and 873.24

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Solution

The fourth proportional to 1,969.02, 2,951.31 and 873.24 is: 1,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.02 : 2,951.31 = 873.24 : x
  2. Step 2: Convert to fraction form
    1,969.02/2,951.31 = 873.24/x
  3. Step 3: Cross multiply
    1,969.02x = 2,951.31 × 873.24
  4. Step 4: Simplify right side
    1,969.02x = 2,577,201.94
  5. Step 5: Solve for x
    x = 2,577,201.94/1,969.02
  6. Step 6: Final answer
    x = 1,308.88

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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.