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Finding the Fourth Proportional to 1,736.23, 2,396.04 and 950.34

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Solution

The fourth proportional to 1,736.23, 2,396.04 and 950.34 is: 1,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.23 : 2,396.04 = 950.34 : x
  2. Step 2: Convert to fraction form
    1,736.23/2,396.04 = 950.34/x
  3. Step 3: Cross multiply
    1,736.23x = 2,396.04 × 950.34
  4. Step 4: Simplify right side
    1,736.23x = 2,277,052.65
  5. Step 5: Solve for x
    x = 2,277,052.65/1,736.23
  6. Step 6: Final answer
    x = 1,311.49

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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.