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Finding the Fourth Proportional to 2,842.51, 3,922.41 and 1,600.51

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Solution

The fourth proportional to 2,842.51, 3,922.41 and 1,600.51 is: 2,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.51 : 3,922.41 = 1,600.51 : x
  2. Step 2: Convert to fraction form
    2,842.51/3,922.41 = 1,600.51/x
  3. Step 3: Cross multiply
    2,842.51x = 3,922.41 × 1,600.51
  4. Step 4: Simplify right side
    2,842.51x = 6,277,856.43
  5. Step 5: Solve for x
    x = 6,277,856.43/2,842.51
  6. Step 6: Final answer
    x = 2,208.56

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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.