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Finding the Fourth Proportional to 2,125.87, 3,187.78 and 664.22

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Solution

The fourth proportional to 2,125.87, 3,187.78 and 664.22 is: 996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.87 : 3,187.78 = 664.22 : x
  2. Step 2: Convert to fraction form
    2,125.87/3,187.78 = 664.22/x
  3. Step 3: Cross multiply
    2,125.87x = 3,187.78 × 664.22
  4. Step 4: Simplify right side
    2,125.87x = 2,117,393.54
  5. Step 5: Solve for x
    x = 2,117,393.54/2,125.87
  6. Step 6: Final answer
    x = 996.01

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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.