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Finding the Fourth Proportional to 2,281.96, 3,406.73 and 2,200.96

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Solution

The fourth proportional to 2,281.96, 3,406.73 and 2,200.96 is: 3,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.96 : 3,406.73 = 2,200.96 : x
  2. Step 2: Convert to fraction form
    2,281.96/3,406.73 = 2,200.96/x
  3. Step 3: Cross multiply
    2,281.96x = 3,406.73 × 2,200.96
  4. Step 4: Simplify right side
    2,281.96x = 7,498,076.46
  5. Step 5: Solve for x
    x = 7,498,076.46/2,281.96
  6. Step 6: Final answer
    x = 3,285.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.