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Finding the Fourth Proportional to 3,267.92, 4,510.38 and 1,941.36

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Solution

The fourth proportional to 3,267.92, 4,510.38 and 1,941.36 is: 2,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.92 : 4,510.38 = 1,941.36 : x
  2. Step 2: Convert to fraction form
    3,267.92/4,510.38 = 1,941.36/x
  3. Step 3: Cross multiply
    3,267.92x = 4,510.38 × 1,941.36
  4. Step 4: Simplify right side
    3,267.92x = 8,756,282.48
  5. Step 5: Solve for x
    x = 8,756,282.48/3,267.92
  6. Step 6: Final answer
    x = 2,679.47

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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.