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Finding the Fourth Proportional to 3,267.71, 4,509.24 and 1,940.57

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Solution

The fourth proportional to 3,267.71, 4,509.24 and 1,940.57 is: 2,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.71 : 4,509.24 = 1,940.57 : x
  2. Step 2: Convert to fraction form
    3,267.71/4,509.24 = 1,940.57/x
  3. Step 3: Cross multiply
    3,267.71x = 4,509.24 × 1,940.57
  4. Step 4: Simplify right side
    3,267.71x = 8,750,473.32
  5. Step 5: Solve for x
    x = 8,750,473.32/3,267.71
  6. Step 6: Final answer
    x = 2,677.87

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Why These Related Problems?

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