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Finding the Fourth Proportional to 2,604.92, 3,896.62 and 2,137.45

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Solution

The fourth proportional to 2,604.92, 3,896.62 and 2,137.45 is: 3,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.92 : 3,896.62 = 2,137.45 : x
  2. Step 2: Convert to fraction form
    2,604.92/3,896.62 = 2,137.45/x
  3. Step 3: Cross multiply
    2,604.92x = 3,896.62 × 2,137.45
  4. Step 4: Simplify right side
    2,604.92x = 8,328,831.13
  5. Step 5: Solve for x
    x = 8,328,831.13/2,604.92
  6. Step 6: Final answer
    x = 3,197.34

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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.