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Finding the Fourth Proportional to 2,930.76, 4,044.46 and 1,604.48

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Solution

The fourth proportional to 2,930.76, 4,044.46 and 1,604.48 is: 2,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.76 : 4,044.46 = 1,604.48 : x
  2. Step 2: Convert to fraction form
    2,930.76/4,044.46 = 1,604.48/x
  3. Step 3: Cross multiply
    2,930.76x = 4,044.46 × 1,604.48
  4. Step 4: Simplify right side
    2,930.76x = 6,489,261.28
  5. Step 5: Solve for x
    x = 6,489,261.28/2,930.76
  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.