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Finding the Fourth Proportional to 2,125.32, 3,187.98 and 664.32

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Solution

The fourth proportional to 2,125.32, 3,187.98 and 664.32 is: 996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.32 : 3,187.98 = 664.32 : x
  2. Step 2: Convert to fraction form
    2,125.32/3,187.98 = 664.32/x
  3. Step 3: Cross multiply
    2,125.32x = 3,187.98 × 664.32
  4. Step 4: Simplify right side
    2,125.32x = 2,117,838.87
  5. Step 5: Solve for x
    x = 2,117,838.87/2,125.32
  6. Step 6: Final answer
    x = 996.48

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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.