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Finding the Fourth Proportional to 2,969.34, 4,450.89 and 994.48

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Solution

The fourth proportional to 2,969.34, 4,450.89 and 994.48 is: 1,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.34 : 4,450.89 = 994.48 : x
  2. Step 2: Convert to fraction form
    2,969.34/4,450.89 = 994.48/x
  3. Step 3: Cross multiply
    2,969.34x = 4,450.89 × 994.48
  4. Step 4: Simplify right side
    2,969.34x = 4,426,338.73
  5. Step 5: Solve for x
    x = 4,426,338.73/2,969.34
  6. Step 6: Final answer
    x = 1,490.68

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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.