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Finding the Fourth Proportional to 2,969.70, 4,451.42 and 994.82

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Solution

The fourth proportional to 2,969.70, 4,451.42 and 994.82 is: 1,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.70 : 4,451.42 = 994.82 : x
  2. Step 2: Convert to fraction form
    2,969.70/4,451.42 = 994.82/x
  3. Step 3: Cross multiply
    2,969.70x = 4,451.42 × 994.82
  4. Step 4: Simplify right side
    2,969.70x = 4,428,361.64
  5. Step 5: Solve for x
    x = 4,428,361.64/2,969.70
  6. Step 6: Final answer
    x = 1,491.18

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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.