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Finding the Fourth Proportional to 4,606.92, 6,911.60 and 1,687.68

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Solution

The fourth proportional to 4,606.92, 6,911.60 and 1,687.68 is: 2,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.92 : 6,911.60 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    4,606.92/6,911.60 = 1,687.68/x
  3. Step 3: Cross multiply
    4,606.92x = 6,911.60 × 1,687.68
  4. Step 4: Simplify right side
    4,606.92x = 11,664,569.09
  5. Step 5: Solve for x
    x = 11,664,569.09/4,606.92
  6. Step 6: Final answer
    x = 2,531.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.