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Finding the Fourth Proportional to 2,460.46, 3,388.17 and 2,198.38

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Solution

The fourth proportional to 2,460.46, 3,388.17 and 2,198.38 is: 3,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.46 : 3,388.17 = 2,198.38 : x
  2. Step 2: Convert to fraction form
    2,460.46/3,388.17 = 2,198.38/x
  3. Step 3: Cross multiply
    2,460.46x = 3,388.17 × 2,198.38
  4. Step 4: Simplify right side
    2,460.46x = 7,448,484.94
  5. Step 5: Solve for x
    x = 7,448,484.94/2,460.46
  6. Step 6: Final answer
    x = 3,027.28

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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.