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Finding the Fourth Proportional to 2,340.48, 3,206.97 and 2,318.88

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Solution

The fourth proportional to 2,340.48, 3,206.97 and 2,318.88 is: 3,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.48 : 3,206.97 = 2,318.88 : x
  2. Step 2: Convert to fraction form
    2,340.48/3,206.97 = 2,318.88/x
  3. Step 3: Cross multiply
    2,340.48x = 3,206.97 × 2,318.88
  4. Step 4: Simplify right side
    2,340.48x = 7,436,578.59
  5. Step 5: Solve for x
    x = 7,436,578.59/2,340.48
  6. Step 6: Final answer
    x = 3,177.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.