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Finding the Fourth Proportional to 2,842.28, 3,922.30 and 1,600.28

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Solution

The fourth proportional to 2,842.28, 3,922.30 and 1,600.28 is: 2,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.28 : 3,922.30 = 1,600.28 : x
  2. Step 2: Convert to fraction form
    2,842.28/3,922.30 = 1,600.28/x
  3. Step 3: Cross multiply
    2,842.28x = 3,922.30 × 1,600.28
  4. Step 4: Simplify right side
    2,842.28x = 6,276,778.24
  5. Step 5: Solve for x
    x = 6,276,778.24/2,842.28
  6. Step 6: Final answer
    x = 2,208.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.