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Finding the Fourth Proportional to 2,463.92, 3,399.88 and 1,580.94

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Solution

The fourth proportional to 2,463.92, 3,399.88 and 1,580.94 is: 2,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.92 : 3,399.88 = 1,580.94 : x
  2. Step 2: Convert to fraction form
    2,463.92/3,399.88 = 1,580.94/x
  3. Step 3: Cross multiply
    2,463.92x = 3,399.88 × 1,580.94
  4. Step 4: Simplify right side
    2,463.92x = 5,375,006.29
  5. Step 5: Solve for x
    x = 5,375,006.29/2,463.92
  6. Step 6: Final answer
    x = 2,181.49

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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.