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Finding the Fourth Proportional to 2,796.97, 3,860.38 and 2,132.64

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Solution

The fourth proportional to 2,796.97, 3,860.38 and 2,132.64 is: 2,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.97 : 3,860.38 = 2,132.64 : x
  2. Step 2: Convert to fraction form
    2,796.97/3,860.38 = 2,132.64/x
  3. Step 3: Cross multiply
    2,796.97x = 3,860.38 × 2,132.64
  4. Step 4: Simplify right side
    2,796.97x = 8,232,776.17
  5. Step 5: Solve for x
    x = 8,232,776.17/2,796.97
  6. Step 6: Final answer
    x = 2,943.46

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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.