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Finding the Fourth Proportional to 4,942.92, 7,414.74 and 1,656

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Solution

The fourth proportional to 4,942.92, 7,414.74 and 1,656 is: 2,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.92 : 7,414.74 = 1,656 : x
  2. Step 2: Convert to fraction form
    4,942.92/7,414.74 = 1,656/x
  3. Step 3: Cross multiply
    4,942.92x = 7,414.74 × 1,656
  4. Step 4: Simplify right side
    4,942.92x = 12,278,809.44
  5. Step 5: Solve for x
    x = 12,278,809.44/4,942.92
  6. Step 6: Final answer
    x = 2,484.12

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