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Finding the Fourth Proportional to 2,975.69, 4,107.49 and 1,842.23

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Solution

The fourth proportional to 2,975.69, 4,107.49 and 1,842.23 is: 2,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.69 : 4,107.49 = 1,842.23 : x
  2. Step 2: Convert to fraction form
    2,975.69/4,107.49 = 1,842.23/x
  3. Step 3: Cross multiply
    2,975.69x = 4,107.49 × 1,842.23
  4. Step 4: Simplify right side
    2,975.69x = 7,566,946.97
  5. Step 5: Solve for x
    x = 7,566,946.97/2,975.69
  6. Step 6: Final answer
    x = 2,542.92

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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.