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Finding the Fourth Proportional to 2,429.92, 3,661.68 and 2,198.88

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Solution

The fourth proportional to 2,429.92, 3,661.68 and 2,198.88 is: 3,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.92 : 3,661.68 = 2,198.88 : x
  2. Step 2: Convert to fraction form
    2,429.92/3,661.68 = 2,198.88/x
  3. Step 3: Cross multiply
    2,429.92x = 3,661.68 × 2,198.88
  4. Step 4: Simplify right side
    2,429.92x = 8,051,594.92
  5. Step 5: Solve for x
    x = 8,051,594.92/2,429.92
  6. Step 6: Final answer
    x = 3,313.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.