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Finding the Fourth Proportional to 1,474.21, 2,034.36 and 950.55

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Solution

The fourth proportional to 1,474.21, 2,034.36 and 950.55 is: 1,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.21 : 2,034.36 = 950.55 : x
  2. Step 2: Convert to fraction form
    1,474.21/2,034.36 = 950.55/x
  3. Step 3: Cross multiply
    1,474.21x = 2,034.36 × 950.55
  4. Step 4: Simplify right side
    1,474.21x = 1,933,760.90
  5. Step 5: Solve for x
    x = 1,933,760.90/1,474.21
  6. Step 6: Final answer
    x = 1,311.73

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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.