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Finding the Fourth Proportional to 2,792.26, 3,853.32 and 1,550.26

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Solution

The fourth proportional to 2,792.26, 3,853.32 and 1,550.26 is: 2,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.26 : 3,853.32 = 1,550.26 : x
  2. Step 2: Convert to fraction form
    2,792.26/3,853.32 = 1,550.26/x
  3. Step 3: Cross multiply
    2,792.26x = 3,853.32 × 1,550.26
  4. Step 4: Simplify right side
    2,792.26x = 5,973,647.86
  5. Step 5: Solve for x
    x = 5,973,647.86/2,792.26
  6. Step 6: Final answer
    x = 2,139.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.