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Finding the Fourth Proportional to 4,267.77, 6,397.27 and 1,634.56

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Solution

The fourth proportional to 4,267.77, 6,397.27 and 1,634.56 is: 2,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.77 : 6,397.27 = 1,634.56 : x
  2. Step 2: Convert to fraction form
    4,267.77/6,397.27 = 1,634.56/x
  3. Step 3: Cross multiply
    4,267.77x = 6,397.27 × 1,634.56
  4. Step 4: Simplify right side
    4,267.77x = 10,456,713.48
  5. Step 5: Solve for x
    x = 10,456,713.48/4,267.77
  6. Step 6: Final answer
    x = 2,450.16

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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.