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Finding the Fourth Proportional to 2,023.43, 3,034.60 and 853.44

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Solution

The fourth proportional to 2,023.43, 3,034.60 and 853.44 is: 1,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.43 : 3,034.60 = 853.44 : x
  2. Step 2: Convert to fraction form
    2,023.43/3,034.60 = 853.44/x
  3. Step 3: Cross multiply
    2,023.43x = 3,034.60 × 853.44
  4. Step 4: Simplify right side
    2,023.43x = 2,589,846.89
  5. Step 5: Solve for x
    x = 2,589,846.89/2,023.43
  6. Step 6: Final answer
    x = 1,279.93

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Why These Related Problems?

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