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Finding the Fourth Proportional to 2,209.69, 3,054.25 and 1,942.13

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Solution

The fourth proportional to 2,209.69, 3,054.25 and 1,942.13 is: 2,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.69 : 3,054.25 = 1,942.13 : x
  2. Step 2: Convert to fraction form
    2,209.69/3,054.25 = 1,942.13/x
  3. Step 3: Cross multiply
    2,209.69x = 3,054.25 × 1,942.13
  4. Step 4: Simplify right side
    2,209.69x = 5,931,730.43
  5. Step 5: Solve for x
    x = 5,931,730.43/2,209.69
  6. Step 6: Final answer
    x = 2,684.42

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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.