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Finding the Fourth Proportional to 2,888.94, 3,982.82 and 1,892.64

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Solution

The fourth proportional to 2,888.94, 3,982.82 and 1,892.64 is: 2,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.94 : 3,982.82 = 1,892.64 : x
  2. Step 2: Convert to fraction form
    2,888.94/3,982.82 = 1,892.64/x
  3. Step 3: Cross multiply
    2,888.94x = 3,982.82 × 1,892.64
  4. Step 4: Simplify right side
    2,888.94x = 7,538,044.44
  5. Step 5: Solve for x
    x = 7,538,044.44/2,888.94
  6. Step 6: Final answer
    x = 2,609.28

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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.