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Finding the Fourth Proportional to 2,044.24, 2,823.24 and 2,021.20

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Solution

The fourth proportional to 2,044.24, 2,823.24 and 2,021.20 is: 2,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.24 : 2,823.24 = 2,021.20 : x
  2. Step 2: Convert to fraction form
    2,044.24/2,823.24 = 2,021.20/x
  3. Step 3: Cross multiply
    2,044.24x = 2,823.24 × 2,021.20
  4. Step 4: Simplify right side
    2,044.24x = 5,706,332.69
  5. Step 5: Solve for x
    x = 5,706,332.69/2,044.24
  6. Step 6: Final answer
    x = 2,791.42

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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.