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Finding the Fourth Proportional to 2,930.93, 4,044.53 and 1,604.38

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Solution

The fourth proportional to 2,930.93, 4,044.53 and 1,604.38 is: 2,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.93 : 4,044.53 = 1,604.38 : x
  2. Step 2: Convert to fraction form
    2,930.93/4,044.53 = 1,604.38/x
  3. Step 3: Cross multiply
    2,930.93x = 4,044.53 × 1,604.38
  4. Step 4: Simplify right side
    2,930.93x = 6,488,964.09
  5. Step 5: Solve for x
    x = 6,488,964.09/2,930.93
  6. Step 6: Final answer
    x = 2,213.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.