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Finding the Fourth Proportional to 2,125.32, 3,188.19 and 664.08

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Solution

The fourth proportional to 2,125.32, 3,188.19 and 664.08 is: 996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.32 : 3,188.19 = 664.08 : x
  2. Step 2: Convert to fraction form
    2,125.32/3,188.19 = 664.08/x
  3. Step 3: Cross multiply
    2,125.32x = 3,188.19 × 664.08
  4. Step 4: Simplify right side
    2,125.32x = 2,117,213.22
  5. Step 5: Solve for x
    x = 2,117,213.22/2,125.32
  6. Step 6: Final answer
    x = 996.19

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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.