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Finding the Fourth Proportional to 2,228.96, 3,342.90 and 842.42

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Solution

The fourth proportional to 2,228.96, 3,342.90 and 842.42 is: 1,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.96 : 3,342.90 = 842.42 : x
  2. Step 2: Convert to fraction form
    2,228.96/3,342.90 = 842.42/x
  3. Step 3: Cross multiply
    2,228.96x = 3,342.90 × 842.42
  4. Step 4: Simplify right side
    2,228.96x = 2,816,125.82
  5. Step 5: Solve for x
    x = 2,816,125.82/2,228.96
  6. Step 6: Final answer
    x = 1,263.43

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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.