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Finding the Fourth Proportional to 3,003.44, 4,502.28 and 950

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Solution

The fourth proportional to 3,003.44, 4,502.28 and 950 is: 1,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.44 : 4,502.28 = 950 : x
  2. Step 2: Convert to fraction form
    3,003.44/4,502.28 = 950/x
  3. Step 3: Cross multiply
    3,003.44x = 4,502.28 × 950
  4. Step 4: Simplify right side
    3,003.44x = 4,277,166
  5. Step 5: Solve for x
    x = 4,277,166/3,003.44
  6. Step 6: Final answer
    x = 1,424.09

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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.