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Finding the Fourth Proportional to 3,188.94, 4,781.10 and 996.48

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Solution

The fourth proportional to 3,188.94, 4,781.10 and 996.48 is: 1,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.94 : 4,781.10 = 996.48 : x
  2. Step 2: Convert to fraction form
    3,188.94/4,781.10 = 996.48/x
  3. Step 3: Cross multiply
    3,188.94x = 4,781.10 × 996.48
  4. Step 4: Simplify right side
    3,188.94x = 4,764,270.53
  5. Step 5: Solve for x
    x = 4,764,270.53/3,188.94
  6. Step 6: Final answer
    x = 1,494.00

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Why These Related Problems?

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