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Finding the Fourth Proportional to 4,124.92, 6,185.92 and 1,784.82

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Solution

The fourth proportional to 4,124.92, 6,185.92 and 1,784.82 is: 2,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.92 : 6,185.92 = 1,784.82 : x
  2. Step 2: Convert to fraction form
    4,124.92/6,185.92 = 1,784.82/x
  3. Step 3: Cross multiply
    4,124.92x = 6,185.92 × 1,784.82
  4. Step 4: Simplify right side
    4,124.92x = 11,040,753.73
  5. Step 5: Solve for x
    x = 11,040,753.73/4,124.92
  6. Step 6: Final answer
    x = 2,676.60

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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.