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Finding the Fourth Proportional to 2,974.86, 4,104.90 and 1,715.63

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Solution

The fourth proportional to 2,974.86, 4,104.90 and 1,715.63 is: 2,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.86 : 4,104.90 = 1,715.63 : x
  2. Step 2: Convert to fraction form
    2,974.86/4,104.90 = 1,715.63/x
  3. Step 3: Cross multiply
    2,974.86x = 4,104.90 × 1,715.63
  4. Step 4: Simplify right side
    2,974.86x = 7,042,469.06
  5. Step 5: Solve for x
    x = 7,042,469.06/2,974.86
  6. Step 6: Final answer
    x = 2,367.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.