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Finding the Fourth Proportional to 2,044.05, 2,821.41 and 1,204.70

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Solution

The fourth proportional to 2,044.05, 2,821.41 and 1,204.70 is: 1,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.05 : 2,821.41 = 1,204.70 : x
  2. Step 2: Convert to fraction form
    2,044.05/2,821.41 = 1,204.70/x
  3. Step 3: Cross multiply
    2,044.05x = 2,821.41 × 1,204.70
  4. Step 4: Simplify right side
    2,044.05x = 3,398,938.52
  5. Step 5: Solve for x
    x = 3,398,938.52/2,044.05
  6. Step 6: Final answer
    x = 1,662.85

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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.