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Finding the Fourth Proportional to 2,044.71, 2,821.64 and 1,205.55

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Solution

The fourth proportional to 2,044.71, 2,821.64 and 1,205.55 is: 1,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.71 : 2,821.64 = 1,205.55 : x
  2. Step 2: Convert to fraction form
    2,044.71/2,821.64 = 1,205.55/x
  3. Step 3: Cross multiply
    2,044.71x = 2,821.64 × 1,205.55
  4. Step 4: Simplify right side
    2,044.71x = 3,401,622.07
  5. Step 5: Solve for x
    x = 3,401,622.07/2,044.71
  6. Step 6: Final answer
    x = 1,663.62

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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.