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Finding the Fourth Proportional to 2,421.62, 3,342.86 and 1,636.73

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Solution

The fourth proportional to 2,421.62, 3,342.86 and 1,636.73 is: 2,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.62 : 3,342.86 = 1,636.73 : x
  2. Step 2: Convert to fraction form
    2,421.62/3,342.86 = 1,636.73/x
  3. Step 3: Cross multiply
    2,421.62x = 3,342.86 × 1,636.73
  4. Step 4: Simplify right side
    2,421.62x = 5,471,351.06
  5. Step 5: Solve for x
    x = 5,471,351.06/2,421.62
  6. Step 6: Final answer
    x = 2,259.38

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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.