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Finding the Fourth Proportional to 1,474.31, 2,033.34 and 884.43

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Solution

The fourth proportional to 1,474.31, 2,033.34 and 884.43 is: 1,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.31 : 2,033.34 = 884.43 : x
  2. Step 2: Convert to fraction form
    1,474.31/2,033.34 = 884.43/x
  3. Step 3: Cross multiply
    1,474.31x = 2,033.34 × 884.43
  4. Step 4: Simplify right side
    1,474.31x = 1,798,343.58
  5. Step 5: Solve for x
    x = 1,798,343.58/1,474.31
  6. Step 6: Final answer
    x = 1,219.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.