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Finding the Fourth Proportional to 2,625.70, 3,936.12 and 981

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Solution

The fourth proportional to 2,625.70, 3,936.12 and 981 is: 1,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.70 : 3,936.12 = 981 : x
  2. Step 2: Convert to fraction form
    2,625.70/3,936.12 = 981/x
  3. Step 3: Cross multiply
    2,625.70x = 3,936.12 × 981
  4. Step 4: Simplify right side
    2,625.70x = 3,861,333.72
  5. Step 5: Solve for x
    x = 3,861,333.72/2,625.70
  6. Step 6: Final answer
    x = 1,470.59

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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.