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Finding the Fourth Proportional to 2,791.76, 3,852.62 and 1,549.76

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Solution

The fourth proportional to 2,791.76, 3,852.62 and 1,549.76 is: 2,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.76 : 3,852.62 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    2,791.76/3,852.62 = 1,549.76/x
  3. Step 3: Cross multiply
    2,791.76x = 3,852.62 × 1,549.76
  4. Step 4: Simplify right side
    2,791.76x = 5,970,636.37
  5. Step 5: Solve for x
    x = 5,970,636.37/2,791.76
  6. Step 6: Final answer
    x = 2,138.66

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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.