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Finding the Fourth Proportional to 2,044.98, 2,822.28 and 1,205.96

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Solution

The fourth proportional to 2,044.98, 2,822.28 and 1,205.96 is: 1,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.98 : 2,822.28 = 1,205.96 : x
  2. Step 2: Convert to fraction form
    2,044.98/2,822.28 = 1,205.96/x
  3. Step 3: Cross multiply
    2,044.98x = 2,822.28 × 1,205.96
  4. Step 4: Simplify right side
    2,044.98x = 3,403,556.79
  5. Step 5: Solve for x
    x = 3,403,556.79/2,044.98
  6. Step 6: Final answer
    x = 1,664.35

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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.