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Finding the Fourth Proportional to 2,842.03, 3,922.01 and 1,600.03

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Solution

The fourth proportional to 2,842.03, 3,922.01 and 1,600.03 is: 2,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.03 : 3,922.01 = 1,600.03 : x
  2. Step 2: Convert to fraction form
    2,842.03/3,922.01 = 1,600.03/x
  3. Step 3: Cross multiply
    2,842.03x = 3,922.01 × 1,600.03
  4. Step 4: Simplify right side
    2,842.03x = 6,275,336.56
  5. Step 5: Solve for x
    x = 6,275,336.56/2,842.03
  6. Step 6: Final answer
    x = 2,208.05

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1.5x scale

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.