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Finding the Fourth Proportional to 1,847.31, 2,769.23 and 677.04

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Solution

The fourth proportional to 1,847.31, 2,769.23 and 677.04 is: 1,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.31 : 2,769.23 = 677.04 : x
  2. Step 2: Convert to fraction form
    1,847.31/2,769.23 = 677.04/x
  3. Step 3: Cross multiply
    1,847.31x = 2,769.23 × 677.04
  4. Step 4: Simplify right side
    1,847.31x = 1,874,876.09
  5. Step 5: Solve for x
    x = 1,874,876.09/1,847.31
  6. Step 6: Final answer
    x = 1,014.92

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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.