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Finding the Fourth Proportional to 2,922.13, 4,383.87 and 842.15

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Solution

The fourth proportional to 2,922.13, 4,383.87 and 842.15 is: 1,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.13 : 4,383.87 = 842.15 : x
  2. Step 2: Convert to fraction form
    2,922.13/4,383.87 = 842.15/x
  3. Step 3: Cross multiply
    2,922.13x = 4,383.87 × 842.15
  4. Step 4: Simplify right side
    2,922.13x = 3,691,871.91
  5. Step 5: Solve for x
    x = 3,691,871.91/2,922.13
  6. Step 6: Final answer
    x = 1,263.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.