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Finding the Fourth Proportional to 3,418.09, 5,118.90 and 1,952.80

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Solution

The fourth proportional to 3,418.09, 5,118.90 and 1,952.80 is: 2,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.09 : 5,118.90 = 1,952.80 : x
  2. Step 2: Convert to fraction form
    3,418.09/5,118.90 = 1,952.80/x
  3. Step 3: Cross multiply
    3,418.09x = 5,118.90 × 1,952.80
  4. Step 4: Simplify right side
    3,418.09x = 9,996,187.92
  5. Step 5: Solve for x
    x = 9,996,187.92/3,418.09
  6. Step 6: Final answer
    x = 2,924.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.