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Finding the Fourth Proportional to 2,930.80, 4,044.49 and 1,604.49

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Solution

The fourth proportional to 2,930.80, 4,044.49 and 1,604.49 is: 2,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.80 : 4,044.49 = 1,604.49 : x
  2. Step 2: Convert to fraction form
    2,930.80/4,044.49 = 1,604.49/x
  3. Step 3: Cross multiply
    2,930.80x = 4,044.49 × 1,604.49
  4. Step 4: Simplify right side
    2,930.80x = 6,489,339.75
  5. Step 5: Solve for x
    x = 6,489,339.75/2,930.80
  6. Step 6: Final answer
    x = 2,214.19

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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.