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Finding the Fourth Proportional to 2,882.97, 3,978.59 and 1,703.61

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Solution

The fourth proportional to 2,882.97, 3,978.59 and 1,703.61 is: 2,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.97 : 3,978.59 = 1,703.61 : x
  2. Step 2: Convert to fraction form
    2,882.97/3,978.59 = 1,703.61/x
  3. Step 3: Cross multiply
    2,882.97x = 3,978.59 × 1,703.61
  4. Step 4: Simplify right side
    2,882.97x = 6,777,957.19
  5. Step 5: Solve for x
    x = 6,777,957.19/2,882.97
  6. Step 6: Final answer
    x = 2,351.03

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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.