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Finding the Fourth Proportional to 2,842, 3,922 and 1,600

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Solution

The fourth proportional to 2,842, 3,922 and 1,600 is: 2,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 3,922 = 1,600 : x
  2. Step 2: Convert to fraction form
    2,842/3,922 = 1,600/x
  3. Step 3: Cross multiply
    2,842x = 3,922 × 1,600
  4. Step 4: Simplify right side
    2,842x = 6,275,200
  5. Step 5: Solve for x
    x = 6,275,200/2,842
  6. Step 6: Final answer
    x = 2,208.02

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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.