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Finding the Fourth Proportional to 2,125.56, 3,188.76 and 664.40

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Solution

The fourth proportional to 2,125.56, 3,188.76 and 664.40 is: 996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.56 : 3,188.76 = 664.40 : x
  2. Step 2: Convert to fraction form
    2,125.56/3,188.76 = 664.40/x
  3. Step 3: Cross multiply
    2,125.56x = 3,188.76 × 664.40
  4. Step 4: Simplify right side
    2,125.56x = 2,118,612.14
  5. Step 5: Solve for x
    x = 2,118,612.14/2,125.56
  6. Step 6: Final answer
    x = 996.73

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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.