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Finding the Fourth Proportional to 1,447.96, 1,981.08 and 1,441.84

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Solution

The fourth proportional to 1,447.96, 1,981.08 and 1,441.84 is: 1,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.96 : 1,981.08 = 1,441.84 : x
  2. Step 2: Convert to fraction form
    1,447.96/1,981.08 = 1,441.84/x
  3. Step 3: Cross multiply
    1,447.96x = 1,981.08 × 1,441.84
  4. Step 4: Simplify right side
    1,447.96x = 2,856,400.39
  5. Step 5: Solve for x
    x = 2,856,400.39/1,447.96
  6. Step 6: Final answer
    x = 1,972.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.