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Finding the Fourth Proportional to 2,044.62, 3,065.96 and 1,223.28

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Solution

The fourth proportional to 2,044.62, 3,065.96 and 1,223.28 is: 1,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.62 : 3,065.96 = 1,223.28 : x
  2. Step 2: Convert to fraction form
    2,044.62/3,065.96 = 1,223.28/x
  3. Step 3: Cross multiply
    2,044.62x = 3,065.96 × 1,223.28
  4. Step 4: Simplify right side
    2,044.62x = 3,750,527.55
  5. Step 5: Solve for x
    x = 3,750,527.55/2,044.62
  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.