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Finding the Fourth Proportional to 1,969.86, 2,954.81 and 799.89

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Solution

The fourth proportional to 1,969.86, 2,954.81 and 799.89 is: 1,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.86 : 2,954.81 = 799.89 : x
  2. Step 2: Convert to fraction form
    1,969.86/2,954.81 = 799.89/x
  3. Step 3: Cross multiply
    1,969.86x = 2,954.81 × 799.89
  4. Step 4: Simplify right side
    1,969.86x = 2,363,522.97
  5. Step 5: Solve for x
    x = 2,363,522.97/1,969.86
  6. Step 6: Final answer
    x = 1,199.84

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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.