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Finding the Fourth Proportional to 2,125.40, 3,188.20 and 664.56

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Solution

The fourth proportional to 2,125.40, 3,188.20 and 664.56 is: 996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.40 : 3,188.20 = 664.56 : x
  2. Step 2: Convert to fraction form
    2,125.40/3,188.20 = 664.56/x
  3. Step 3: Cross multiply
    2,125.40x = 3,188.20 × 664.56
  4. Step 4: Simplify right side
    2,125.40x = 2,118,750.19
  5. Step 5: Solve for x
    x = 2,118,750.19/2,125.40
  6. Step 6: Final answer
    x = 996.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.