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Finding the Fourth Proportional to 1,969.97, 2,954.16 and 873.59

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Solution

The fourth proportional to 1,969.97, 2,954.16 and 873.59 is: 1,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.97 : 2,954.16 = 873.59 : x
  2. Step 2: Convert to fraction form
    1,969.97/2,954.16 = 873.59/x
  3. Step 3: Cross multiply
    1,969.97x = 2,954.16 × 873.59
  4. Step 4: Simplify right side
    1,969.97x = 2,580,709.86
  5. Step 5: Solve for x
    x = 2,580,709.86/1,969.97
  6. Step 6: Final answer
    x = 1,310.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.