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Finding the Fourth Proportional to 2,930.70, 4,044.32 and 1,604.32

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Solution

The fourth proportional to 2,930.70, 4,044.32 and 1,604.32 is: 2,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.70 : 4,044.32 = 1,604.32 : x
  2. Step 2: Convert to fraction form
    2,930.70/4,044.32 = 1,604.32/x
  3. Step 3: Cross multiply
    2,930.70x = 4,044.32 × 1,604.32
  4. Step 4: Simplify right side
    2,930.70x = 6,488,383.46
  5. Step 5: Solve for x
    x = 6,488,383.46/2,930.70
  6. Step 6: Final answer
    x = 2,213.94

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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.