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Finding the Fourth Proportional to 2,792.26, 4,188.84 and 943.54

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Solution

The fourth proportional to 2,792.26, 4,188.84 and 943.54 is: 1,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.26 : 4,188.84 = 943.54 : x
  2. Step 2: Convert to fraction form
    2,792.26/4,188.84 = 943.54/x
  3. Step 3: Cross multiply
    2,792.26x = 4,188.84 × 943.54
  4. Step 4: Simplify right side
    2,792.26x = 3,952,338.09
  5. Step 5: Solve for x
    x = 3,952,338.09/2,792.26
  6. Step 6: Final answer
    x = 1,415.46

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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.