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Finding the Fourth Proportional to 2,634.86, 3,630.49 and 2,161.15

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Solution

The fourth proportional to 2,634.86, 3,630.49 and 2,161.15 is: 2,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.86 : 3,630.49 = 2,161.15 : x
  2. Step 2: Convert to fraction form
    2,634.86/3,630.49 = 2,161.15/x
  3. Step 3: Cross multiply
    2,634.86x = 3,630.49 × 2,161.15
  4. Step 4: Simplify right side
    2,634.86x = 7,846,018.98
  5. Step 5: Solve for x
    x = 7,846,018.98/2,634.86
  6. Step 6: Final answer
    x = 2,977.77

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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.