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Finding the Fourth Proportional to 1,447.30, 2,169.87 and 900.82

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Solution

The fourth proportional to 1,447.30, 2,169.87 and 900.82 is: 1,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.30 : 2,169.87 = 900.82 : x
  2. Step 2: Convert to fraction form
    1,447.30/2,169.87 = 900.82/x
  3. Step 3: Cross multiply
    1,447.30x = 2,169.87 × 900.82
  4. Step 4: Simplify right side
    1,447.30x = 1,954,662.29
  5. Step 5: Solve for x
    x = 1,954,662.29/1,447.30
  6. Step 6: Final answer
    x = 1,350.56

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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.