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Finding the Fourth Proportional to 2,954.43, 4,428.77 and 1,311.39

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Solution

The fourth proportional to 2,954.43, 4,428.77 and 1,311.39 is: 1,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.43 : 4,428.77 = 1,311.39 : x
  2. Step 2: Convert to fraction form
    2,954.43/4,428.77 = 1,311.39/x
  3. Step 3: Cross multiply
    2,954.43x = 4,428.77 × 1,311.39
  4. Step 4: Simplify right side
    2,954.43x = 5,807,838.13
  5. Step 5: Solve for x
    x = 5,807,838.13/2,954.43
  6. Step 6: Final answer
    x = 1,965.81

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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.