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Finding the Fourth Proportional to 2,930.54, 4,044.12 and 1,604.23

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Solution

The fourth proportional to 2,930.54, 4,044.12 and 1,604.23 is: 2,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.54 : 4,044.12 = 1,604.23 : x
  2. Step 2: Convert to fraction form
    2,930.54/4,044.12 = 1,604.23/x
  3. Step 3: Cross multiply
    2,930.54x = 4,044.12 × 1,604.23
  4. Step 4: Simplify right side
    2,930.54x = 6,487,698.63
  5. Step 5: Solve for x
    x = 6,487,698.63/2,930.54
  6. Step 6: Final answer
    x = 2,213.82

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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.