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Finding the Fourth Proportional to 3,044.43, 4,563 and 1,194.39

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Solution

The fourth proportional to 3,044.43, 4,563 and 1,194.39 is: 1,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.43 : 4,563 = 1,194.39 : x
  2. Step 2: Convert to fraction form
    3,044.43/4,563 = 1,194.39/x
  3. Step 3: Cross multiply
    3,044.43x = 4,563 × 1,194.39
  4. Step 4: Simplify right side
    3,044.43x = 5,450,001.57
  5. Step 5: Solve for x
    x = 5,450,001.57/3,044.43
  6. Step 6: Final answer
    x = 1,790.15

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