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Finding the Fourth Proportional to 2,128, 3,192.45 and 667.03

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Solution

The fourth proportional to 2,128, 3,192.45 and 667.03 is: 1,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128 : 3,192.45 = 667.03 : x
  2. Step 2: Convert to fraction form
    2,128/3,192.45 = 667.03/x
  3. Step 3: Cross multiply
    2,128x = 3,192.45 × 667.03
  4. Step 4: Simplify right side
    2,128x = 2,129,459.92
  5. Step 5: Solve for x
    x = 2,129,459.92/2,128
  6. Step 6: Final answer
    x = 1,000.69

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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.