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Finding the Fourth Proportional to 3,367.69, 4,648.02 and 1,952.26

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Solution

The fourth proportional to 3,367.69, 4,648.02 and 1,952.26 is: 2,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.69 : 4,648.02 = 1,952.26 : x
  2. Step 2: Convert to fraction form
    3,367.69/4,648.02 = 1,952.26/x
  3. Step 3: Cross multiply
    3,367.69x = 4,648.02 × 1,952.26
  4. Step 4: Simplify right side
    3,367.69x = 9,074,143.53
  5. Step 5: Solve for x
    x = 9,074,143.53/3,367.69
  6. Step 6: Final answer
    x = 2,694.47

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