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Finding the Fourth Proportional to 1,447.38, 2,166.96 and 959.46

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Solution

The fourth proportional to 1,447.38, 2,166.96 and 959.46 is: 1,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.38 : 2,166.96 = 959.46 : x
  2. Step 2: Convert to fraction form
    1,447.38/2,166.96 = 959.46/x
  3. Step 3: Cross multiply
    1,447.38x = 2,166.96 × 959.46
  4. Step 4: Simplify right side
    1,447.38x = 2,079,111.44
  5. Step 5: Solve for x
    x = 2,079,111.44/1,447.38
  6. Step 6: Final answer
    x = 1,436.47

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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.