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Finding the Fourth Proportional to 2,125.67, 3,188.70 and 665.03

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Solution

The fourth proportional to 2,125.67, 3,188.70 and 665.03 is: 997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.67 : 3,188.70 = 665.03 : x
  2. Step 2: Convert to fraction form
    2,125.67/3,188.70 = 665.03/x
  3. Step 3: Cross multiply
    2,125.67x = 3,188.70 × 665.03
  4. Step 4: Simplify right side
    2,125.67x = 2,120,581.16
  5. Step 5: Solve for x
    x = 2,120,581.16/2,125.67
  6. Step 6: Final answer
    x = 997.61

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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.