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Finding the Fourth Proportional to 1,414.42, 1,949.46 and 941.46

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Solution

The fourth proportional to 1,414.42, 1,949.46 and 941.46 is: 1,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.42 : 1,949.46 = 941.46 : x
  2. Step 2: Convert to fraction form
    1,414.42/1,949.46 = 941.46/x
  3. Step 3: Cross multiply
    1,414.42x = 1,949.46 × 941.46
  4. Step 4: Simplify right side
    1,414.42x = 1,835,338.61
  5. Step 5: Solve for x
    x = 1,835,338.61/1,414.42
  6. Step 6: Final answer
    x = 1,297.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.