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Finding the Fourth Proportional to 2,044.61, 3,065.97 and 1,223.27

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Solution

The fourth proportional to 2,044.61, 3,065.97 and 1,223.27 is: 1,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.61 : 3,065.97 = 1,223.27 : x
  2. Step 2: Convert to fraction form
    2,044.61/3,065.97 = 1,223.27/x
  3. Step 3: Cross multiply
    2,044.61x = 3,065.97 × 1,223.27
  4. Step 4: Simplify right side
    2,044.61x = 3,750,509.12
  5. Step 5: Solve for x
    x = 3,750,509.12/2,044.61
  6. Step 6: Final answer
    x = 1,834.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.