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Finding the Fourth Proportional to 3,044.49, 4,564.96 and 1,193.43

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Solution

The fourth proportional to 3,044.49, 4,564.96 and 1,193.43 is: 1,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.49 : 4,564.96 = 1,193.43 : x
  2. Step 2: Convert to fraction form
    3,044.49/4,564.96 = 1,193.43/x
  3. Step 3: Cross multiply
    3,044.49x = 4,564.96 × 1,193.43
  4. Step 4: Simplify right side
    3,044.49x = 5,447,960.21
  5. Step 5: Solve for x
    x = 5,447,960.21/3,044.49
  6. Step 6: Final answer
    x = 1,789.45

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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.