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Finding the Fourth Proportional to 2,179.44, 3,270.24 and 881.28

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Solution

The fourth proportional to 2,179.44, 3,270.24 and 881.28 is: 1,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.44 : 3,270.24 = 881.28 : x
  2. Step 2: Convert to fraction form
    2,179.44/3,270.24 = 881.28/x
  3. Step 3: Cross multiply
    2,179.44x = 3,270.24 × 881.28
  4. Step 4: Simplify right side
    2,179.44x = 2,881,997.11
  5. Step 5: Solve for x
    x = 2,881,997.11/2,179.44
  6. Step 6: Final answer
    x = 1,322.36

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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.