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Finding the Fourth Proportional to 2,137.03, 3,203.80 and 950.21

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Solution

The fourth proportional to 2,137.03, 3,203.80 and 950.21 is: 1,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.03 : 3,203.80 = 950.21 : x
  2. Step 2: Convert to fraction form
    2,137.03/3,203.80 = 950.21/x
  3. Step 3: Cross multiply
    2,137.03x = 3,203.80 × 950.21
  4. Step 4: Simplify right side
    2,137.03x = 3,044,272.75
  5. Step 5: Solve for x
    x = 3,044,272.75/2,137.03
  6. Step 6: Final answer
    x = 1,424.53

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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.