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Finding the Fourth Proportional to 2,943.81, 4,415.73 and 996.03

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Solution

The fourth proportional to 2,943.81, 4,415.73 and 996.03 is: 1,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.81 : 4,415.73 = 996.03 : x
  2. Step 2: Convert to fraction form
    2,943.81/4,415.73 = 996.03/x
  3. Step 3: Cross multiply
    2,943.81x = 4,415.73 × 996.03
  4. Step 4: Simplify right side
    2,943.81x = 4,398,199.55
  5. Step 5: Solve for x
    x = 4,398,199.55/2,943.81
  6. Step 6: Final answer
    x = 1,494.05

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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.