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Finding the Fourth Proportional to 2,935.62, 4,403.44 and 744.36

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Solution

The fourth proportional to 2,935.62, 4,403.44 and 744.36 is: 1,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.62 : 4,403.44 = 744.36 : x
  2. Step 2: Convert to fraction form
    2,935.62/4,403.44 = 744.36/x
  3. Step 3: Cross multiply
    2,935.62x = 4,403.44 × 744.36
  4. Step 4: Simplify right side
    2,935.62x = 3,277,757.85
  5. Step 5: Solve for x
    x = 3,277,757.85/2,935.62
  6. Step 6: Final answer
    x = 1,116.55

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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.