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Finding the Fourth Proportional to 2,044.53, 2,821.42 and 1,205.27

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Solution

The fourth proportional to 2,044.53, 2,821.42 and 1,205.27 is: 1,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.53 : 2,821.42 = 1,205.27 : x
  2. Step 2: Convert to fraction form
    2,044.53/2,821.42 = 1,205.27/x
  3. Step 3: Cross multiply
    2,044.53x = 2,821.42 × 1,205.27
  4. Step 4: Simplify right side
    2,044.53x = 3,400,552.75
  5. Step 5: Solve for x
    x = 3,400,552.75/2,044.53
  6. Step 6: Final answer
    x = 1,663.25

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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.